Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 10/2015, Volume 430, Issue 1, pp. 193 - 204

Let C0(K,X) denote the Banach space of all X-valued continuous functions defined on the locally compact Hausdorff space K which vanish at infinity, provided...

Isomorphic Banach–Stone property | Amir–Cambern theorem | Banach–Stone theorem | [formula omitted] spaces | Banach-Stone theorem | Isomorphic Banach-Stone property | C 0 (K,X) spaces | Amir-Cambern theorem | MATHEMATICS | MATHEMATICS, APPLIED | SPACES | JAMES | C-0(K,X) spaces | ISOMORPHISMS | C(X) | C(X,E)

Isomorphic Banach–Stone property | Amir–Cambern theorem | Banach–Stone theorem | [formula omitted] spaces | Banach-Stone theorem | Isomorphic Banach-Stone property | C 0 (K,X) spaces | Amir-Cambern theorem | MATHEMATICS | MATHEMATICS, APPLIED | SPACES | JAMES | C-0(K,X) spaces | ISOMORPHISMS | C(X) | C(X,E)

Journal Article

1979, Lecture notes in mathematics, ISBN 9780387095332, Volume 736., x, 217

Book

Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 03/2014, Volume 411, Issue 2, pp. 555 - 558

The main purpose of this article is to generalize a recent result about isometries of Lipschitz spaces. Botelho, Fleming and Jamison [2] described surjective...

Banach–Stone theorem | Isometry | Vector-valued Lipschitz function | Banach-Stone theorem | MATHEMATICS | MATHEMATICS, APPLIED

Banach–Stone theorem | Isometry | Vector-valued Lipschitz function | Banach-Stone theorem | MATHEMATICS | MATHEMATICS, APPLIED

Journal Article

Journal of Pure and Applied Algebra, ISSN 0022-4049, 06/2020, Volume 224, Issue 6, p. 106275

One important class of tools in the study of the connections between algebraic and topological structures are the “Banach–Stone type theorems”, which describe...

Groupoids | Locally compact Hausdorff | Function space | Banach–Stone | Recovery theorem | MATHEMATICS, APPLIED | FOURIER ALGEBRA | REPRESENTATIONS | RINGS | Banach-Stone | MATHEMATICS | AUTOMATIC-CONTINUITY | ISOMORPHISMS | LATTICES

Groupoids | Locally compact Hausdorff | Function space | Banach–Stone | Recovery theorem | MATHEMATICS, APPLIED | FOURIER ALGEBRA | REPRESENTATIONS | RINGS | Banach-Stone | MATHEMATICS | AUTOMATIC-CONTINUITY | ISOMORPHISMS | LATTICES

Journal Article

Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 2008, Volume 340, Issue 1, pp. 282 - 290

In order to find metric spaces X for which the algebra Lip ∗ ( X ) of bounded Lipschitz functions on X determines the Lipschitz structure of X, we introduce...

Lipschitz functions | Banach–Stone theorem | Uniform approximation | Banach-Stone theorem | uniform approximation | MATHEMATICS | MATHEMATICS, APPLIED | LATTICES | Banach - Stone theorem

Lipschitz functions | Banach–Stone theorem | Uniform approximation | Banach-Stone theorem | uniform approximation | MATHEMATICS | MATHEMATICS, APPLIED | LATTICES | Banach - Stone theorem

Journal Article

Topology and its Applications, ISSN 0166-8641, 10/2015, Volume 194, pp. 228 - 240

Several Banach–Stone-like generalizations of Shirota's result for metrizable uniform spaces are proved. Namely, if complete uniform spaces X,Y have isomorphic...

Lattice of functions | Banach–Stone theorem | Uniform continuity | Banach-Stone theorem | MATHEMATICS | MATHEMATICS, APPLIED | SPACES | RINGS

Lattice of functions | Banach–Stone theorem | Uniform continuity | Banach-Stone theorem | MATHEMATICS | MATHEMATICS, APPLIED | SPACES | RINGS

Journal Article

7.
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A sharp representation of multiplicative isomorphisms of uniformly continuous functions

Topology and its Applications, ISSN 0166-8641, 01/2016, Volume 197, pp. 1 - 9

Let X, Y be complete metric spaces, U(X), U(Y) the spaces of uniformly continuous functions with real values defined on X and Y. We will show the form that...

Banach–Stone theorems | Representation | Uniformly continuous functions | Multiplicative isomorphisms | Banach-Stone theorems | MATHEMATICS | MATHEMATICS, APPLIED | LATTICES

Banach–Stone theorems | Representation | Uniformly continuous functions | Multiplicative isomorphisms | Banach-Stone theorems | MATHEMATICS | MATHEMATICS, APPLIED | LATTICES

Journal Article

Aequationes mathematicae, ISSN 0001-9054, 10/2019, Volume 93, Issue 5, pp. 955 - 983

We introduce and study the natural notion of probabilistic 1-Lipschitz maps. We use the space of all probabilistic 1-Lipschitz maps to give a new method for...

Probabilistic metric space | Probabilistic 1-Lipschitz map | Primary 54E70 | Analysis | Probabilistic Banach–Stone type theorem and isometries | Mathematics | Group of units of monoid | 46S50 | Combinatorics | 47S50 | MATHEMATICS | MATHEMATICS, APPLIED | Probabilistic Banach-Stone type theorem and isometries | THEOREM | CONVOLUTION | Monoids | Invariants | Functional Analysis | Probability

Probabilistic metric space | Probabilistic 1-Lipschitz map | Primary 54E70 | Analysis | Probabilistic Banach–Stone type theorem and isometries | Mathematics | Group of units of monoid | 46S50 | Combinatorics | 47S50 | MATHEMATICS | MATHEMATICS, APPLIED | Probabilistic Banach-Stone type theorem and isometries | THEOREM | CONVOLUTION | Monoids | Invariants | Functional Analysis | Probability

Journal Article

Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 01/2015, Volume 421, Issue 1, pp. 186 - 205

Based on the vector-valued generalization of Holsztyński's theorem by M. Cambern, we provide a complete description of the linear isometries of C(X,E) into...

Finite codimensional isometries | Strict convexity | Banach–Stone theorem | Weighted composition operators | Banach-Stone theorem | Finite codimensional isometrics | MATHEMATICS | MATHEMATICS, APPLIED | THEOREM | BANACH-SPACES | C(X) | LINEAR ISOMETRIES | SHIFT-OPERATORS

Finite codimensional isometries | Strict convexity | Banach–Stone theorem | Weighted composition operators | Banach-Stone theorem | Finite codimensional isometrics | MATHEMATICS | MATHEMATICS, APPLIED | THEOREM | BANACH-SPACES | C(X) | LINEAR ISOMETRIES | SHIFT-OPERATORS

Journal Article

10.
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Weight-preserving isomorphisms between spaces of continuous functions: The scalar case

Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 01/2016, Volume 433, Issue 2, pp. 1659 - 1672

Let F be a finite field (or discrete) and let A and B be vector spaces of F-valued continuous functions defined on locally compact spaces X and Y,...

Hamming isometry | Weight-preserving isomorphism | Representation of linear isomorphisms | Banach–Stone Theorem | MacWilliams Equivalence Theorem | Separating map | Banach-Stone Theorem | MATHEMATICS, APPLIED | THEOREM | RINGS | EQUIVALENCE | MATHEMATICS | AUTOMATIC-CONTINUITY | MAPS

Hamming isometry | Weight-preserving isomorphism | Representation of linear isomorphisms | Banach–Stone Theorem | MacWilliams Equivalence Theorem | Separating map | Banach-Stone Theorem | MATHEMATICS, APPLIED | THEOREM | RINGS | EQUIVALENCE | MATHEMATICS | AUTOMATIC-CONTINUITY | MAPS

Journal Article

Bulletin des sciences mathématiques, ISSN 0007-4497, 12/2015, Volume 139, Issue 8, pp. 880 - 891

Let X be a Banach space and S be a locally compact Hausdorff space. By C0(S,X) we will stand the Banach space of all continuous X-valued functions on S endowed...

Banach–Stone theorem | [formula omitted] spaces | Banach spaces without copy of [formula omitted] | Banach spaces without copy of c | (K, X) spaces | Banach-Stone theorem | (K) spaces

Banach–Stone theorem | [formula omitted] spaces | Banach spaces without copy of [formula omitted] | Banach spaces without copy of c | (K, X) spaces | Banach-Stone theorem | (K) spaces

Journal Article

Studia Mathematica, ISSN 0039-3223, 2016, Volume 234, Issue 3, pp. 195 - 216

Let A; B be C*-algebras, B A (0; r) the open ball in A centered at 0 with radius r > 0, and H : B-A (0; r) -> B an orthogonally additive holomorphic map. If H...

Banach-Stone theorems | Homogeneous polynomials | N-isometry | Holomorphic maps | Zero product preserving | algebras | Conformal maps | Orthogonally additive | DIFFERENTIABLE FUNCTIONS | SPACES | C-algebras | zero product preserving | n-isometry | STANDARD OPERATOR-ALGEBRAS | homogeneous polynomials | POLYNOMIALS | MATHEMATICS | BANACH-STONE THEOREM | BISEPARATING MAPS | AUTOMATIC-CONTINUITY | ISOMORPHISMS | orthogonally additive | holomorphic maps | MAPPINGS | conformal maps | ISOMETRIES

Banach-Stone theorems | Homogeneous polynomials | N-isometry | Holomorphic maps | Zero product preserving | algebras | Conformal maps | Orthogonally additive | DIFFERENTIABLE FUNCTIONS | SPACES | C-algebras | zero product preserving | n-isometry | STANDARD OPERATOR-ALGEBRAS | homogeneous polynomials | POLYNOMIALS | MATHEMATICS | BANACH-STONE THEOREM | BISEPARATING MAPS | AUTOMATIC-CONTINUITY | ISOMORPHISMS | orthogonally additive | holomorphic maps | MAPPINGS | conformal maps | ISOMETRIES

Journal Article

Topology and its Applications, ISSN 0166-8641, 01/2013, Volume 160, Issue 1, pp. 50 - 55

An explicit representation of the order isomorphisms between lattices of uniformly continuous functions on complete metric spaces is given. It is shown that...

Isomorphism | Uniformly continuous functions | Banach–Stone theorem | Lattices | Banach-Stone theorem | MATHEMATICS | MATHEMATICS, APPLIED | THEOREM

Isomorphism | Uniformly continuous functions | Banach–Stone theorem | Lattices | Banach-Stone theorem | MATHEMATICS | MATHEMATICS, APPLIED | THEOREM

Journal Article

Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 05/2011, Volume 377, Issue 1, pp. 406 - 413

We show that if there exists a Lipschitz homeomorphism T between the nets in the Banach spaces C(X) and C(Y) of continuous real valued functions on compact...

Function space | Banach–Stone theorem | Isometry | Banach-Stone theorem | MATHEMATICS | MATHEMATICS, APPLIED | PERTURBATIONS | ISOMETRIES

Function space | Banach–Stone theorem | Isometry | Banach-Stone theorem | MATHEMATICS | MATHEMATICS, APPLIED | PERTURBATIONS | ISOMETRIES

Journal Article

Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 05/2011, Volume 377, Issue 1, pp. 15 - 29

We solve the following three questions concerning surjective linear isometries between spaces of Lipschitz functions Lip(X,E) and Lip(Y,F), for strictly convex...

Linear isometry | Biseparating map | Banach–Stone Theorem | Vector-valued Lipschitz function | Banach-Stone Theorem | MATHEMATICS | BISEPARATING MAPS | MATHEMATICS, APPLIED | LINEAR ISOMETRIES

Linear isometry | Biseparating map | Banach–Stone Theorem | Vector-valued Lipschitz function | Banach-Stone Theorem | MATHEMATICS | BISEPARATING MAPS | MATHEMATICS, APPLIED | LINEAR ISOMETRIES

Journal Article

Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 11/2012, Volume 395, Issue 1, pp. 265 - 274

We obtain several Banach–Stone type theorems for vector-valued functions in this paper. Let X,Y be realcompact or metric spaces, E,F locally convex spaces, and...

Biseparating maps | Realcompact spaces | Uniform continuous functions | Banach–Stone theorems | Nonvanishing preservers | Vector-valued functions | Local automorphisms | Banach-Stone theorems | MATHEMATICS | MATHEMATICS, APPLIED | LINEAR-MAPS | ISOMETRIES

Biseparating maps | Realcompact spaces | Uniform continuous functions | Banach–Stone theorems | Nonvanishing preservers | Vector-valued functions | Local automorphisms | Banach-Stone theorems | MATHEMATICS | MATHEMATICS, APPLIED | LINEAR-MAPS | ISOMETRIES

Journal Article

Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 2010, Volume 363, Issue 2, pp. 525 - 548

For a metric space X, we study the space D ∞ ( X ) of bounded functions on X whose pointwise Lipschitz constant is uniformly bounded. D ∞ ( X ) is compared...

Lipschitz functions | Banach–Stone theorem | Newtonian–Sobolev spaces | Metric measure spaces | Banach-Stone theorem | Newtonian-Sobolev spaces | MATHEMATICS | MATHEMATICS, APPLIED | SOBOLEV SPACES | DIFFERENTIABILITY | THEOREM | UNIFORMLY CONTINUOUS-FUNCTIONS

Lipschitz functions | Banach–Stone theorem | Newtonian–Sobolev spaces | Metric measure spaces | Banach-Stone theorem | Newtonian-Sobolev spaces | MATHEMATICS | MATHEMATICS, APPLIED | SOBOLEV SPACES | DIFFERENTIABILITY | THEOREM | UNIFORMLY CONTINUOUS-FUNCTIONS

Journal Article

Topology and its Applications, ISSN 0166-8641, 08/2019, Volume 263, pp. 44 - 60

Let G be a metric group and let Aut(G) denote the automorphism group of G. If A and B are groups of G-valued maps defined on the sets X and Y, respectively, we...

Banach-Stone Theorem | Group-valued continuous function | Representation of linear isomorphisms | Pointwise convergence topology | Weighted composition operator | MacWilliams Equivalence Theorem | Separating map | MATHEMATICS | MATHEMATICS, APPLIED | CONTINUITY | THEOREM | ISOMETRIES

Banach-Stone Theorem | Group-valued continuous function | Representation of linear isomorphisms | Pointwise convergence topology | Weighted composition operator | MacWilliams Equivalence Theorem | Separating map | MATHEMATICS | MATHEMATICS, APPLIED | CONTINUITY | THEOREM | ISOMETRIES

Journal Article

Fundamenta Mathematicae, ISSN 0016-2736, 2018, Volume 242, Issue 2, pp. 187 - 205

Journal Article

Mathematische Nachrichten, ISSN 0025-584X, 05/2019, Volume 292, Issue 5, pp. 996 - 1007

Let K and S be locally compact Hausdorff spaces and let X be a strictly convex Banach space of finite dimension at least 2. In this paper, we prove that if...

C0(K,X) spaces | vector‐valued Banach–Stone theorems | ℓpn spaces | Primary: 46B03, 46E15; Secondary: 46B25, 46E40 | Schäffer constant | strictly convex spaces | vector-valued Banach–Stone theorems | (K,X) spaces | MATHEMATICS | BANACH-STONE THEOREMS | C-0(K, X) spaces | Schaffer constant | lpn spaces | vector-valued Banach-Stone theorems

C0(K,X) spaces | vector‐valued Banach–Stone theorems | ℓpn spaces | Primary: 46B03, 46E15; Secondary: 46B25, 46E40 | Schäffer constant | strictly convex spaces | vector-valued Banach–Stone theorems | (K,X) spaces | MATHEMATICS | BANACH-STONE THEOREMS | C-0(K, X) spaces | Schaffer constant | lpn spaces | vector-valued Banach-Stone theorems

Journal Article

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