Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 2012, Volume 386, Issue 1, pp. 241 - 257

... operator. This result is used to the study of strengthenings of the separable complementation property in spaces of continuous functions on compact lines...

Projectional skeleton | Compact linearly ordered space | Averaging operator | Continuous separable complementation property | MATHEMATICS | MATHEMATICS, APPLIED | BANACH-SPACES | Analysis | Universities and colleges

Projectional skeleton | Compact linearly ordered space | Averaging operator | Continuous separable complementation property | MATHEMATICS | MATHEMATICS, APPLIED | BANACH-SPACES | Analysis | Universities and colleges

Journal Article

Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 05/2013, Volume 401, Issue 2, pp. 939 - 949

We study the separable complementation property (SCP) and its natural variations in Banach spaces of continuous functions over compacta KA induced by almost disjoint families A of countable subsets of uncountable sets...

Separable complementation property | Ladder system space | Almost disjoint family | Projections in Banach spaces | WEAKLY LINDELOF | MATHEMATICS | DECOMPOSITIONS | MATHEMATICS, APPLIED | GENERATED BANACH-SPACES | Family | Mathematics - Functional Analysis

Separable complementation property | Ladder system space | Almost disjoint family | Projections in Banach spaces | WEAKLY LINDELOF | MATHEMATICS | DECOMPOSITIONS | MATHEMATICS, APPLIED | GENERATED BANACH-SPACES | Family | Mathematics - Functional Analysis

Journal Article

New York Journal of Mathematics, ISSN 1076-9803, 2016, Volume 22, pp. 605 - 613

...) an example of a Banach space of universal disposition with respect to finite dimensional polyhedral spaces with the Separable Complementation Property; iii...

Separable complementation property | Separable injective | Banach spaces of universal disposition | MATHEMATICS | separable injective | EXTENSION | separable complementation property | C(K)-SPACES

Separable complementation property | Separable injective | Banach spaces of universal disposition | MATHEMATICS | separable injective | EXTENSION | separable complementation property | C(K)-SPACES

Journal Article

Proceedings of the American Mathematical Society, ISSN 0002-9939, 11/2014, Volume 142, Issue 11, pp. 3933 - 3939

...-Kadets Klee property, then X is already an Asplund space.

Unit ball | Series convergence | Mathematical sequences | Mathematical theorems | Applied mathematics | Mathematical functions | Topology | Banach space | Lurs | Separable complementation property | SCP | Weak-star-to-weak Kadets Klee property | Grothendieck spaces | Renormings | Weak-star Kadets Klee property | Coseparable subspaces | Asplund spaces | Duality mapping | Weakly Lindelöf determined | WLD | MATHEMATICS, APPLIED | renormings | duality mapping | coseparable subspaces | MATHEMATICS | weak-star Kadets Klee property | BANACH-SPACES | weakly Lindelof determined | separable complementation property | weak-star-to-weak Kadets Klee property

Unit ball | Series convergence | Mathematical sequences | Mathematical theorems | Applied mathematics | Mathematical functions | Topology | Banach space | Lurs | Separable complementation property | SCP | Weak-star-to-weak Kadets Klee property | Grothendieck spaces | Renormings | Weak-star Kadets Klee property | Coseparable subspaces | Asplund spaces | Duality mapping | Weakly Lindelöf determined | WLD | MATHEMATICS, APPLIED | renormings | duality mapping | coseparable subspaces | MATHEMATICS | weak-star Kadets Klee property | BANACH-SPACES | weakly Lindelof determined | separable complementation property | weak-star-to-weak Kadets Klee property

Journal Article

Banach Journal of Mathematical Analysis, ISSN 1735-8787, 2014, Volume 8, Issue 2, pp. 67 - 78

For a compact K, a necessary condition for C(K) to have the Controlled Separable Complementation Property is that K be monolithic...

Monolithic compacta | Controlled separable complementation property | Extensible space | MATHEMATICS | MATHEMATICS, APPLIED | extensible space | BANACH-SPACES | monolithic compacta

Monolithic compacta | Controlled separable complementation property | Extensible space | MATHEMATICS | MATHEMATICS, APPLIED | extensible space | BANACH-SPACES | monolithic compacta

Journal Article

Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 01/2015, Volume 421, Issue 1, pp. 950 - 954

For a Banach space E, it is well-known that a necessary condition for E to have the controlled separable complementation property (CSCP, for short...

Monolithic compacta | Controlled separable complementation property | Scattered compacta | MATHEMATICS | MATHEMATICS, APPLIED | Controlled separable | BANACH-SPACES | PROPERTY | complementation property

Monolithic compacta | Controlled separable complementation property | Scattered compacta | MATHEMATICS | MATHEMATICS, APPLIED | Controlled separable | BANACH-SPACES | PROPERTY | complementation property

Journal Article

7.
Full Text
Linearly ordered compacta and Banach spaces with a projectional resolution of the identity

Topology and its Applications, ISSN 0166-8641, 2007, Volume 154, Issue 3, pp. 749 - 757

We construct a compact linearly ordered space K ω 1 of weight ℵ 1 , such that the space C ( K ω 1 ) is not isomorphic to a Banach space with a projectional...

Separable complementation property | Projection | Banach space | Linearly ordered compact space | Plichko space | MATHEMATICS | MATHEMATICS, APPLIED | projection | separable complementation property | linearly ordered compact space

Separable complementation property | Projection | Banach space | Linearly ordered compact space | Plichko space | MATHEMATICS | MATHEMATICS, APPLIED | projection | separable complementation property | linearly ordered compact space

Journal Article

Mathematica Scandinavica, ISSN 0025-5521, 1/2003, Volume 92, Issue 2, pp. 301 - 308

We show that a subspace of a Banach space having the approximation property inherits this property if and only if it is approximately complemented in the space...

Tensors | Algebra | Approximation | Mathematical theorems | Separable spaces | Mathematics | Complementation | Banach space | MATHEMATICS | COMPACT-OPERATORS | IDENTITIES | SPACES | UNITS

Tensors | Algebra | Approximation | Mathematical theorems | Separable spaces | Mathematics | Complementation | Banach space | MATHEMATICS | COMPACT-OPERATORS | IDENTITIES | SPACES | UNITS

Journal Article

Proceedings of the London Mathematical Society, ISSN 0024-6115, 11/2002, Volume 85, Issue 3, pp. 742 - 768

We investigate in this paper the complementation of copies of $c_0(I)$ in some classes of Banach spaces...

non‐separable Banach spaces | Sobczyk's Theorem | copies of c0(I)

non‐separable Banach spaces | Sobczyk's Theorem | copies of c0(I)

Journal Article

Central European Journal of Mathematics, ISSN 1895-1074, 7/2014, Volume 12, Issue 7, pp. 1026 - 1039

We compare two methods of proving separable reduction theorems in functional analysis — the method of rich families and the method of elementary submodels. We...

03C30 | Topological Groups, Lie Groups | Probability Theory and Stochastic Processes | Mathematics | Separable reduction | Geometry | 46B26 | Elementary submodel | Algebra | Mathematics, general | Projectional skeleton | Rich family | Number Theory | MATHEMATICS | SPACES | Mathematics - Functional Analysis

03C30 | Topological Groups, Lie Groups | Probability Theory and Stochastic Processes | Mathematics | Separable reduction | Geometry | 46B26 | Elementary submodel | Algebra | Mathematics, general | Projectional skeleton | Rich family | Number Theory | MATHEMATICS | SPACES | Mathematics - Functional Analysis

Journal Article

Transactions of the American Mathematical Society, ISSN 0002-9947, 11/2011, Volume 363, Issue 11, pp. 5827 - 5846

.... This provides, among others, a unified approach to the study of approximation properties. We present various applications to Grothendieck's classical approximation...

Tensors | Embeddings | Approximation | Mathematical theorems | Separable spaces | Linear transformations | Mathematical inequalities | Banach space | Factorization | operator ideals | APPROXIMABILITY | ORDER-P | finite-rank operators | COMPACT-OPERATORS | Banach spaces | IDEALS | MATHEMATICS | approximation properties | P-NUCLEAR | BANACH-SPACES | DUAL SPACES | tensor norms | spaces of operators

Tensors | Embeddings | Approximation | Mathematical theorems | Separable spaces | Linear transformations | Mathematical inequalities | Banach space | Factorization | operator ideals | APPROXIMABILITY | ORDER-P | finite-rank operators | COMPACT-OPERATORS | Banach spaces | IDEALS | MATHEMATICS | approximation properties | P-NUCLEAR | BANACH-SPACES | DUAL SPACES | tensor norms | spaces of operators

Journal Article

The Journal of Comparative Germanic Linguistics, ISSN 1383-4924, 10/2016, Volume 19, Issue 3, pp. 179 - 220

Cinque (Linguist Inq 36(3):315–332, 2005; Universals of language today. Springer, Dordrecht, pp 165–184, 2009; Functional structure from top to toe. Vol. 9 of...

Cartography | Nouns | Grammatical particles | Dialects | Adverbs | Word order | Syntax | Verbs | Grammatical clauses | Verbal particle | Universal 20 | Germanic Languages | Comparative Linguistics | Linear asymmetries | Linguistics, general | Separable prefix | Theoretical Languages | Linguistics | Modal verbs | Verb clusters | LINGUISTICS | COMPLEX | LANGUAGE & LINGUISTICS | Universal 20 | MORPHOLOGY | Function words | Asymmetry | Syntactic structures | Germanic languages | Language universals

Cartography | Nouns | Grammatical particles | Dialects | Adverbs | Word order | Syntax | Verbs | Grammatical clauses | Verbal particle | Universal 20 | Germanic Languages | Comparative Linguistics | Linear asymmetries | Linguistics, general | Separable prefix | Theoretical Languages | Linguistics | Modal verbs | Verb clusters | LINGUISTICS | COMPLEX | LANGUAGE & LINGUISTICS | Universal 20 | MORPHOLOGY | Function words | Asymmetry | Syntactic structures | Germanic languages | Language universals

Journal Article

Proceedings of the American Mathematical Society, ISSN 0002-9939, 09/1998, Volume 126, Issue 9, pp. 2747 - 2753

...) of bounded operators if and only if X has the metric compact approximation property (MCAP), and K(Y) is an M-ideal in L(Y) for all separable subspaces Y of X having the MCAP...

Separable spaces | Mathematical inequalities | Approximation | Mathematical theorems | Banach space | MATHEMATICS | MATHEMATICS, APPLIED | BIDUALS | APPROXIMATION PROPERTY | BANACH-SPACES

Separable spaces | Mathematical inequalities | Approximation | Mathematical theorems | Banach space | MATHEMATICS | MATHEMATICS, APPLIED | BIDUALS | APPROXIMATION PROPERTY | BANACH-SPACES

Journal Article

Transactions of the American Mathematical Society, ISSN 0002-9947, 7/1945, Volume 58, Issue 1, pp. 77 - 95

Journal Article

Transactions of the American Mathematical Society, ISSN 0002-9947, 03/2005, Volume 357, Issue 3, pp. 1125 - 1159

The Banach space E has the weakly compact approximation property (W.A.P. for short) if there is a constant C...

Approximation | Algebra | Linear transformations | Separable spaces | Coordinate systems | Scalars | Mathematical inequalities | Banach space | Unit vectors | MATHEMATICS | EXAMPLES

Approximation | Algebra | Linear transformations | Separable spaces | Coordinate systems | Scalars | Mathematical inequalities | Banach space | Unit vectors | MATHEMATICS | EXAMPLES

Journal Article

Theory and Decision, ISSN 0040-5833, 8/2017, Volume 83, Issue 2, pp. 175 - 193

Let $${\mathcal {E}}$$ E be a class of events. Conditionally Expected Utility decision makers are decision makers whose conditional preferences $$\succsim...

Economics | Behavioral/Experimental Economics | Invariant bi-separable preference | Dynamic consistency | Operations Research/Decision Theory | Conditional expected utility | Economic Theory/Quantitative Economics/Mathematical Methods | Game Theory, Economics, Social and Behav. Sciences | Unconditional preference | SUBJECTIVE-PROBABILITY | SOCIAL SCIENCES, MATHEMATICAL METHODS | ECONOMICS | Concretes | Economic models | Utility | Axioms | Economic theory | Decision makers | Preferences | Expected utility

Economics | Behavioral/Experimental Economics | Invariant bi-separable preference | Dynamic consistency | Operations Research/Decision Theory | Conditional expected utility | Economic Theory/Quantitative Economics/Mathematical Methods | Game Theory, Economics, Social and Behav. Sciences | Unconditional preference | SUBJECTIVE-PROBABILITY | SOCIAL SCIENCES, MATHEMATICAL METHODS | ECONOMICS | Concretes | Economic models | Utility | Axioms | Economic theory | Decision makers | Preferences | Expected utility

Journal Article

SIAM Journal on Applied Mathematics, ISSN 0036-1399, 12/1973, Volume 25, Issue 4, pp. 681 - 692

Let (Ω, B) be a measurable space, X, Y be separable Hilbert spaces. Let T be a random linear operator from Ω × X into Y. Let T†(ω) denote the generalized...

Measurability | Stochastic processes | Linear transformations | Separable spaces | Hilbert spaces | Mathematical functions | Random variables | Probabilities | Operator theory

Measurability | Stochastic processes | Linear transformations | Separable spaces | Hilbert spaces | Mathematical functions | Random variables | Probabilities | Operator theory

Journal Article

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