Proceedings of the American Mathematical Society, ISSN 0002-9939, 07/2019, Volume 147, Issue 7, pp. 3039 - 3045

We show that if X is a closed subspace of a Banach space E and Z is a closed subspace of E...

MATHEMATICS | total subspace | MATHEMATICS, APPLIED | Norming subspace | reflexive subspace | M-bibasic system

MATHEMATICS | total subspace | MATHEMATICS, APPLIED | Norming subspace | reflexive subspace | M-bibasic system

Journal Article

Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 10/2019, Volume 478, Issue 2, pp. 776 - 789

We study the class of Banach spaces X such that the locally convex space (X,μ(X,Y)) is complete for every norming and norm-closed subspace Y...

Norming subspace | Mackey topology | Mazur property | Completeness | MATHEMATICS | MATHEMATICS, APPLIED | SEQUENTIAL-PROPERTIES

Norming subspace | Mackey topology | Mazur property | Completeness | MATHEMATICS | MATHEMATICS, APPLIED | SEQUENTIAL-PROPERTIES

Journal Article

Acta Mathematica Sinica, English Series, ISSN 1439-8516, 5/2015, Volume 31, Issue 5, pp. 767 - 771

Norming subspaces are studied widely in the duality theory of Banach spaces. These subspaces are applied to the Borel and Baire classifications of the inverse operators...

46B20 | Mathematics, general | free ultrafilter | 46B10 | Mathematics | Banach space | weak convergence | norming subspace | dual space

46B20 | Mathematics, general | free ultrafilter | 46B10 | Mathematics | Banach space | weak convergence | norming subspace | dual space

Journal Article

ACTA MATHEMATICA SINICA-ENGLISH SERIES, ISSN 1439-8516, 05/2015, Volume 31, Issue 5, pp. 767 - 771

Norming subspaces are studied widely in the duality theory of Banach spaces. These subspaces are applied to the Borel and Baire classifications of the inverse operators...

MATHEMATICS | SEQUENTIAL CONVERGENCE | MATHEMATICS, APPLIED | BANACH-SPACES | free ultrafilter | Banach space | weak convergence | norming subspace | dual space

MATHEMATICS | SEQUENTIAL CONVERGENCE | MATHEMATICS, APPLIED | BANACH-SPACES | free ultrafilter | Banach space | weak convergence | norming subspace | dual space

Journal Article

Springer Proceedings in Mathematics and Statistics, ISSN 2194-1009, 2019, Volume 286, pp. 153 - 174

Conference Proceeding

Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 01/2017, Volume 445, Issue 1, pp. 944 - 952

...⁎-dense subspace Y of the dual X⁎ of a Banach space X: (i) The norming character of Y, (ii) the fact that (Y,w⁎) has the Mazur property...

Norming subspace | Mackey topology | Banach space | Weak compactness | Completeness | Mazur space | MATHEMATICS | MATHEMATICS, APPLIED

Norming subspace | Mackey topology | Banach space | Weak compactness | Completeness | Mazur space | MATHEMATICS | MATHEMATICS, APPLIED

Journal Article

Bulletin of the Australian Mathematical Society, ISSN 0004-9727, 06/2010, Volume 81, Issue 3, pp. 409 - 413

...* dense subspace Y of the dual X′ of X such that X, endowed with the Mackey topology μ(X,Y ) of the dual pair 〈X,Y 〉, is not complete.

Krein-Smulyan theorem | Banach spaces | Mackey topologies | norming subspaces | MATHEMATICS

Krein-Smulyan theorem | Banach spaces | Mackey topologies | norming subspaces | MATHEMATICS

Journal Article

Journal of mathematical analysis and applications, ISSN 0022-247X, 2019, Volume 479, Issue 1, pp. 608 - 620

A Banach space X has the so-called ball-covering property whenever its unit sphere can be covered by a countable collection of open balls that miss the origin....

Renorming | Separability | Norming subspaces | Ball-covering | MATHEMATICS | MATHEMATICS, APPLIED | BANACH-SPACES

Renorming | Separability | Norming subspaces | Ball-covering | MATHEMATICS | MATHEMATICS, APPLIED | BANACH-SPACES

Journal Article

Note di Matematica, ISSN 1123-2536, 2011, Volume 31, Issue 1, pp. 129 - 138

...^*$ contains a linear subspace $A\subset X^*$ such that the set $A^{(1)}$ of all limits of weak...

Total subspace | Weak sequential closure | Norming subspace | Quasi-reflexive Banach space | Weak derived set | Weak closure | Mathematics - Functional Analysis

Total subspace | Weak sequential closure | Norming subspace | Quasi-reflexive Banach space | Weak derived set | Weak closure | Mathematics - Functional Analysis

Journal Article

10.
Full Text
NESTED SEQUENCES OF BALLS, UNIQUENESS OF HAHN-BANACH EXTENSIONS AND THE VLASOV PROPERTY

The Rocky Mountain Journal of Mathematics, ISSN 0035-7596, 4/2003, Volume 33, Issue 1, pp. 27 - 67

In this work we characterize when a single linear functional dominated by a sublinear functional p on a subspace of a real vector space has a unique extension to the whole space dominated by p...

Increasing sequences | Mathematical sequences | Property titles | Topological theorems | Mathematical theorems | Uniqueness | Vector spaces | Banach space | Hahn-Banach smoothness | Sublinear functional | (p-)U-subspaces | Nested sequences of (p-)balls | Sublinear functionals | Vlasov Property | (w-) asymptotic norming properties | Ideals | Vlasoy Property | MATHEMATICS | (p)U-subspaces | ideals | nested sequences of (p-)balls | SPACES | sublinear functionals | (w-) asymptotic noiming properties | Vlasov property | 46B04 | 46B20 | 46A22 | (w^-)asymptotic norming properties

Increasing sequences | Mathematical sequences | Property titles | Topological theorems | Mathematical theorems | Uniqueness | Vector spaces | Banach space | Hahn-Banach smoothness | Sublinear functional | (p-)U-subspaces | Nested sequences of (p-)balls | Sublinear functionals | Vlasov Property | (w-) asymptotic norming properties | Ideals | Vlasoy Property | MATHEMATICS | (p)U-subspaces | ideals | nested sequences of (p-)balls | SPACES | sublinear functionals | (w-) asymptotic noiming properties | Vlasov property | 46B04 | 46B20 | 46A22 | (w^-)asymptotic norming properties

Journal Article

Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 2008, Volume 343, Issue 2, pp. 593 - 600

... ∞ of the Banach space c 0 has a total strongly non-norming subspace M. Using this subspace M we construct a non-normable...

Strict non-archimedean LB-space | Strongly non-norming subspace in the dual of a non-archimedean Banach space | Strong dual of a non-archimedean Fréchet space | MATHEMATICS | MATHEMATICS, APPLIED | strongly non-norming subspace in the dual of a non-archimedean Banach space | strong dual of a non-archimedean Frechet space | strict non-archimedean LB-space

Strict non-archimedean LB-space | Strongly non-norming subspace in the dual of a non-archimedean Banach space | Strong dual of a non-archimedean Fréchet space | MATHEMATICS | MATHEMATICS, APPLIED | strongly non-norming subspace in the dual of a non-archimedean Banach space | strong dual of a non-archimedean Frechet space | strict non-archimedean LB-space

Journal Article

Studia Mathematica, ISSN 0039-3223, 2001, Volume 147, Issue 2, pp. 155 - 168

We study the local dual spaces of a Banach space X, which can be described as the subspaces of X...

Norming subspace | Local dual space | Local reflexivity | MATHEMATICS | local dual space | PROJECTIONS | local reflexivity | norming subspace

Norming subspace | Local dual space | Local reflexivity | MATHEMATICS | local dual space | PROJECTIONS | local reflexivity | norming subspace

Journal Article

Journal of Functional Analysis, ISSN 0022-1236, 08/2000, Volume 175, Issue 1, pp. 168 - 196

We introduce and investigate the notion of a norming C*-subalgebra of C*-algebra. We characterize when von Neumann algebras norm B(H), and construct various...

crossed product | UHF | cohomology | von Neumann algebra | norming | bounded projection | factor | hyperfinite | injective | C-algebra | algebra | C-algebra; von Neumann algebra; norming; cohomology; bounded projection; crossed product; factor; hyperfinite; injective; UHF | COMPLEMENTED SUBSPACES | CARTAN SUBALGEBRAS | VONNEUMANN-ALGEBRAS | VON-NEUMANN-ALGEBRAS | MATHEMATICS | MAPS | OPERATOR ALGEBRAS | HOCHSCHILD COHOMOLOGY | ENTROPY | Algebra

crossed product | UHF | cohomology | von Neumann algebra | norming | bounded projection | factor | hyperfinite | injective | C-algebra | algebra | C-algebra; von Neumann algebra; norming; cohomology; bounded projection; crossed product; factor; hyperfinite; injective; UHF | COMPLEMENTED SUBSPACES | CARTAN SUBALGEBRAS | VONNEUMANN-ALGEBRAS | VON-NEUMANN-ALGEBRAS | MATHEMATICS | MAPS | OPERATOR ALGEBRAS | HOCHSCHILD COHOMOLOGY | ENTROPY | Algebra

Journal Article

Proceedings of the American Mathematical Society, ISSN 0002-9939, 1/1972, Volume 31, Issue 1, pp. 109 - 111

A Banach space $X$ has a total nonnorming subspace in its dual if and only if $X$ has infinite codimension in its second dual.

Banach space | Mathematical sequences | Mathematical theorems | Conjugate space | Quasi-reflexive space | Dual space | Norming

Banach space | Mathematical sequences | Mathematical theorems | Conjugate space | Quasi-reflexive space | Dual space | Norming

Journal Article

Numerical Functional Analysis and Optimization, ISSN 0163-0563, 01/2013, Volume 34, Issue 1, pp. 1 - 15

Let A be a finite subset of ℕ. Consider X: = span{e itk : k ∈ A} and V: = span{e itk : k ∈ B ⊊ A} as subspaces of L p...

Norming functionals | Minimal projection | Fourier projection | Tensor product | Uniqueness of minimal projection | MATHEMATICS, APPLIED | CONSTANTS | EXTENSIONS | 46B28 | 41A52 | 47A58 | SUBSPACES | TENSOR-PRODUCT-SPACES | Fourier analysis

Norming functionals | Minimal projection | Fourier projection | Tensor product | Uniqueness of minimal projection | MATHEMATICS, APPLIED | CONSTANTS | EXTENSIONS | 46B28 | 41A52 | 47A58 | SUBSPACES | TENSOR-PRODUCT-SPACES | Fourier analysis

Journal Article

Proceedings of the American Mathematical Society, ISSN 0002-9939, 11/2002, Volume 130, Issue 11, pp. 3255 - 3258

...), where X is a Banach space. A local dual space of a Banach space Y is a subspace Z of Y^* so that we have a local representation of Y...

Abstract spaces | Banach space | Vector valued functions | Banach spaces of vector-valued functions | Norming subspace | Local reflexivity | Local dual space | MATHEMATICS | MATHEMATICS, APPLIED | local dual space | local reflexivity | norming subspace

Abstract spaces | Banach space | Vector valued functions | Banach spaces of vector-valued functions | Norming subspace | Local reflexivity | Local dual space | MATHEMATICS | MATHEMATICS, APPLIED | local dual space | local reflexivity | norming subspace

Journal Article

Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 2009, Volume 350, Issue 2, pp. 758 - 776

A projectional skeleton in a Banach space is a σ-directed family of projections onto separable subspaces, covering the entire space...

Projection | Projectional skeleton | Projective sequence | Plichko space | Norming set | IDENTITY | MATHEMATICS | MATHEMATICS, APPLIED | VALDIVIA COMPACT SPACES | RESOLUTION | SETS | OPERATORS

Projection | Projectional skeleton | Projective sequence | Plichko space | Norming set | IDENTITY | MATHEMATICS | MATHEMATICS, APPLIED | VALDIVIA COMPACT SPACES | RESOLUTION | SETS | OPERATORS

Journal Article

Houston Journal of Mathematics, ISSN 0362-1588, 2010, Volume 36, Issue 3, pp. 803 - 821

It is not so difficult to prove that any closed convex solid cone in a Banach space is the union of an unbounded nested sequence of balls in some equivalent...

Norming cones | Unbounded nested sequences of balls | MATHEMATICS | norming cones

Norming cones | Unbounded nested sequences of balls | MATHEMATICS | norming cones

Journal Article

Proceedings of the American Mathematical Society, ISSN 0002-9939, 8/1985, Volume 94, Issue 4, pp. 665 - 671

We show that the asymptotic-norming and the Radon-Nikodym properties are equivalent, settling a problem of James and Ho [9]. In the process, we give a positive...

Unit ball | Separable spaces | Mathematical theorems | Banach space | Martingales | Semi-embeddings | Asymptotic-norming and Radon-Nikodym properties

Unit ball | Separable spaces | Mathematical theorems | Banach space | Martingales | Semi-embeddings | Asymptotic-norming and Radon-Nikodym properties

Journal Article

Proceedings of the American Mathematical Society, ISSN 0002-9939, 10/1970, Volume 26, Issue 2, pp. 347 - 351

...), where X is a dense subspace of a topological space T. In this paper we obtain several conditions which are equivalent to the following property: every member of P (X...

Integers | Mathematical theorems | Topological theorems | Algebra | Compactification | Topology | Topological spaces | Seminormalized basis | Complemented subbasis | Equivalent bases | Complementably universal basis | Monotone basis | Subsequence homogeneous norming function | Shrinking basis | Unconditional basis | Universal basis | Boundedly complete basis | Norming function

Integers | Mathematical theorems | Topological theorems | Algebra | Compactification | Topology | Topological spaces | Seminormalized basis | Complemented subbasis | Equivalent bases | Complementably universal basis | Monotone basis | Subsequence homogeneous norming function | Shrinking basis | Unconditional basis | Universal basis | Boundedly complete basis | Norming function

Journal Article

No results were found for your search.

Cannot display more than 1000 results, please narrow the terms of your search.