Topology and its applications, ISSN 0166-8641, 2020, Volume 269, p. 106923

.... The strict topology βd induced on B(Bo) by co(X) coincides with the mixed topology γ[τp,τu], where τu and τp denote the topologies of uniform convergence and pointwise convergence in B...

Vector measures | Strongly Mackey spaces | Schur property | Mixed topologies | Strict topologies | Discrete measures | Banach B-modules | SPACE | MATHEMATICS | MATHEMATICS, APPLIED

Vector measures | Strongly Mackey spaces | Schur property | Mixed topologies | Strict topologies | Discrete measures | Banach B-modules | SPACE | MATHEMATICS | MATHEMATICS, APPLIED

Journal Article

Functional Analysis and Its Applications, ISSN 0016-2663, 4/2015, Volume 49, Issue 2, pp. 97 - 105

Bonet and Cascales [Non-complete Mackey topologies on Banach spaces, Bulletin of the Australian Mathematical Society, 81, 3 (2010), 409–413...

Mackey-star topology | Functional Analysis | Analysis | local completeness | Mathematics | completeness | Banach space | MATHEMATICS | MATHEMATICS, APPLIED

Mackey-star topology | Functional Analysis | Analysis | local completeness | Mathematics | completeness | Banach space | MATHEMATICS | MATHEMATICS, APPLIED

Journal Article

Studia Mathematica, ISSN 0039-3223, 2015, Volume 230, Issue 2, pp. 95 - 120

The order topology tau(o)(P) (resp. the sequential order topology tau(os)(P)) on a poset P is the topology that has as its closed sets those that contain the order limits of all their order convergent nets (resp. sequences...

Von Neumann algebra | Mackey topology | Order topology | Mixed topology | mixed topology | SPACE | MATHEMATICS | von Neumann algebra | CONVERGENCE | order topology

Von Neumann algebra | Mackey topology | Order topology | Mixed topology | mixed topology | SPACE | MATHEMATICS | von Neumann algebra | CONVERGENCE | order topology

Journal Article

Forum Mathematicum, ISSN 0933-7741, 09/2018, Volume 30, Issue 5, pp. 1119 - 1127

We give a self-contained proof that the Graev free abelian group over a convergent sequence has no Mackey topology...

quasi-convex hull | 11A07 | Mackey topology | Markov free abelian group | Locally quasi-convex topology | 46A04 | Graev free abelian group | compatible topology | Protasov–Zelenyuk topology | 22A05 | Kronecker’s approximation theorem | 22B05 | Protasov-Zelenyuk topology | Kronecker's approximation theorem | MATHEMATICS | MATHEMATICS, APPLIED | SPACES | ABELIAN-GROUPS

quasi-convex hull | 11A07 | Mackey topology | Markov free abelian group | Locally quasi-convex topology | 46A04 | Graev free abelian group | compatible topology | Protasov–Zelenyuk topology | 22A05 | Kronecker’s approximation theorem | 22B05 | Protasov-Zelenyuk topology | Kronecker's approximation theorem | MATHEMATICS | MATHEMATICS, APPLIED | SPACES | ABELIAN-GROUPS

Journal Article

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

..., and (iii) the completeness of the Mackey topology μ(X,Y), i.e., the topology on X of the uniform convergence on the family of all absolutely convex w...

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

Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 02/2014, Volume 410, Issue 1, pp. 483 - 486

Grothendieck [6] proved that every norm compact subset of a Banach space is contained in the closed convex hull of a norm null sequence. In a recent paper [3],...

The Mackey topology | Weak compactness | MATHEMATICS | MATHEMATICS, APPLIED

The Mackey topology | Weak compactness | MATHEMATICS | MATHEMATICS, APPLIED

Journal Article

Mediterranean Journal of Mathematics, ISSN 1660-5446, 12/2016, Volume 13, Issue 6, pp. 4995 - 5007

...* admits a convex block subsequence which converges with respect to the Mackey topology. We study the connection of this property with strongly weakly compactly...

46B26 | convex block subsequence | Mackey topology | Grothendieck space | Mathematics, general | Mathematics | property (K) | 46B50 | strongly weakly compactly generated space | MATHEMATICS | MATHEMATICS, APPLIED | BANACH-SPACES

46B26 | convex block subsequence | Mackey topology | Grothendieck space | Mathematics, general | Mathematics | property (K) | 46B50 | strongly weakly compactly generated space | MATHEMATICS | MATHEMATICS, APPLIED | BANACH-SPACES

Journal Article

Quaestiones Mathematicae, ISSN 1607-3606, 01/2019, Volume 42, Issue 1, pp. 113 - 124

... ( )-module and the strict topology β on B( ) induced by B o ( ) is a mixed topology. For a sequentially complete locally convex Hausdorﬀ space (E, ξ...

strict topologies | generalized DF-spaces | mixed topologies | Mackey topologies | Tight vector measures | Banach B-modules | MATHEMATICS | SPACES

strict topologies | generalized DF-spaces | mixed topologies | Mackey topologies | Tight vector measures | Banach B-modules | MATHEMATICS | SPACES

Journal Article

Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, ISSN 1578-7303, 9/2016, Volume 110, Issue 2, pp. 667 - 679

...: The supremum of all compatible locally quasi-convex topologies for a topological abelian group G may not coincide with the topology of uniform convergence on the weak quasi-convex compact subsets of the dual group $$G^\wedge $$ G...

Locally quasi-convex group | Mackey topology | Theoretical, Mathematical and Computational Physics | Primary 54C40 | Mathematics | Locally convex space | 14E20 | Precompact group | Compatible topology | Pre-locally compact group | 20C20 | Secondary 46E25 | Mathematics, general | Applications of Mathematics | MATHEMATICS | Theorems | Texts | Topology | Studs | Compatibility | Statistics | Convergence

Locally quasi-convex group | Mackey topology | Theoretical, Mathematical and Computational Physics | Primary 54C40 | Mathematics | Locally convex space | 14E20 | Precompact group | Compatible topology | Pre-locally compact group | 20C20 | Secondary 46E25 | Mathematics, general | Applications of Mathematics | MATHEMATICS | Theorems | Texts | Topology | Studs | Compatibility | Statistics | Convergence

Journal Article

Journal of the European Mathematical Society, ISSN 1435-9855, 2015, Volume 17, Issue 12, pp. 3037 - 3080

In a highly influential paper, Bidigare, Hanlon and Rockmore showed that a number of popular Markov chains are random walks on the faces of a hyperplane...

Leray number | Hyperplane arrangements | Global dimension | Left regular band | Chordal graph | Cohomology | Classifying space | Order complex | Hereditary algebra | MATHEMATICS, APPLIED | classifying space | REPRESENTATIONS | cohomology | RINGS | MACKEY FORMULA | chordal graph | MONOIDS | MATHEMATICS | left regular band | SEMIGROUP ALGEBRA | CATEGORY | QUIVER | hyperplane arrangements | hereditary algebra | HOMOLOGICAL FINITENESS CONDITIONS | order complex

Leray number | Hyperplane arrangements | Global dimension | Left regular band | Chordal graph | Cohomology | Classifying space | Order complex | Hereditary algebra | MATHEMATICS, APPLIED | classifying space | REPRESENTATIONS | cohomology | RINGS | MACKEY FORMULA | chordal graph | MONOIDS | MATHEMATICS | left regular band | SEMIGROUP ALGEBRA | CATEGORY | QUIVER | hyperplane arrangements | hereditary algebra | HOMOLOGICAL FINITENESS CONDITIONS | order complex

Journal Article

Indagationes Mathematicae, ISSN 0019-3577, 2012, Volume 23, Issue 1, pp. 113 - 122

... -measurable real-valued functions defined on Ω , equipped with the natural Mackey topology τ ( B ( Σ ) , c a ( Σ ) ) . We study ( τ ( B ( Σ ) , c a ( Σ ) ) , ξ ) -continuous linear operators from B...

Weakly compact operators | Mackey topologies | Bounded measurable functions | Strongly Mackey space | [formula omitted]-smooth operators | Countably additive measures | Strict Dunford–Pettis property | σ-smooth operators | Strict Dunford-Pettis property | MATHEMATICS | INTEGRATION | THEOREM | sigma-smooth operators

Weakly compact operators | Mackey topologies | Bounded measurable functions | Strongly Mackey space | [formula omitted]-smooth operators | Countably additive measures | Strict Dunford–Pettis property | σ-smooth operators | Strict Dunford-Pettis property | MATHEMATICS | INTEGRATION | THEOREM | sigma-smooth operators

Journal Article

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

...⊂X⁎, where μ(X,Y) denotes the Mackey topology on X associated to the dual pair 〈X,Y〉. Such Banach spaces are called fully Mackey complete...

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

Axioms, ISSN 2075-1680, 12/2015, Volume 4, Issue 4, pp. 436 - 458

For a locally quasi-convex topological abelian group (G,τ), we study the poset \(\mathscr{C}(G,τ)\) of all locally quasi-convex topologies...

Compatible topology | Quasi-isomorphic posets | Mackey groups | Locally quasi-convex topology | Free filters | Quasi-convex sequence | free filters | locally quasi-convex topology | compatible topology | quasi-convex sequence | quasi-isomorphic posets

Compatible topology | Quasi-isomorphic posets | Mackey groups | Locally quasi-convex topology | Free filters | Quasi-convex sequence | free filters | locally quasi-convex topology | compatible topology | quasi-convex sequence | quasi-isomorphic posets

Journal Article

Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, ISSN 1578-7303, 9/2015, Volume 109, Issue 2, pp. 417 - 418

By using a result in Kirk (Pac J Math 45:543–554, 1973), we show that there are separable Banach spaces such that their dual spaces, endowed with the Mackey-star topology, are not analytic...

Strongly weakly compactly generated space | Mackey-star topology | Secondary 46B03 | Theoretical, Mathematical and Computational Physics | Primary 46B20 | Mathematics, general | 46B10 | Mathematics | Analytic space | Applications of Mathematics | Banach space | MATHEMATICS

Strongly weakly compactly generated space | Mackey-star topology | Secondary 46B03 | Theoretical, Mathematical and Computational Physics | Primary 46B20 | Mathematics, general | 46B10 | Mathematics | Analytic space | Applications of Mathematics | Banach space | MATHEMATICS

Journal Article

Proyecciones, ISSN 0716-0917, 12/2007, Volume 26, Issue 3, pp. 253 - 257

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

Mediterranean journal of mathematics, ISSN 1660-5454, 2019, Volume 16, Issue 5, pp. 1 - 19

... of its subsequences are Cesàro convergent to 0 with respect to the Mackey topology. This is stronger than the so-called property (K) of Kwapień...

Lebesgue–Bochner space | strongly super weakly compactly generated space | Mackey topology | Banach–Saks property | Mathematics, general | Secondary 47B07 | Mathematics | Primary 46B50 | Cesàro convergence | MATHEMATICS, APPLIED | PROPERTY | Cesaro convergence | Lebesgue-Bochner space | MATHEMATICS | Banach-Saks property | WEAK COMPACTNESS | L-1 | BANACH-SPACES | SETS | OPERATORS

Lebesgue–Bochner space | strongly super weakly compactly generated space | Mackey topology | Banach–Saks property | Mathematics, general | Secondary 47B07 | Mathematics | Primary 46B50 | Cesàro convergence | MATHEMATICS, APPLIED | PROPERTY | Cesaro convergence | Lebesgue-Bochner space | MATHEMATICS | Banach-Saks property | WEAK COMPACTNESS | L-1 | BANACH-SPACES | SETS | OPERATORS

Journal Article

Topology and its applications, ISSN 0166-8641, 04/2020, p. 107188

Journal Article

Revista Matemática Complutense, ISSN 1139-1138, 1/2017, Volume 30, Issue 1, pp. 167 - 184

.... In the present paper we consider the following well known property of lcs: “A metrizable locally convex space carries its Mackey topology...

Precompact topologies | Mackey topology | Locally convex spaces | Mathematics | 43A40 | Topology | Metrizable abelian groups | Geometry | Primary 22A05 | Algebra | Locally quasi-convex topologies | Analysis | Torsion groups | Mathematics, general | 20K45 | Applications of Mathematics | Secondary 20E34 | MATHEMATICS | MATHEMATICS, APPLIED | ABELIAN-GROUPS | SUBGROUPS

Precompact topologies | Mackey topology | Locally convex spaces | Mathematics | 43A40 | Topology | Metrizable abelian groups | Geometry | Primary 22A05 | Algebra | Locally quasi-convex topologies | Analysis | Torsion groups | Mathematics, general | 20K45 | Applications of Mathematics | Secondary 20E34 | MATHEMATICS | MATHEMATICS, APPLIED | ABELIAN-GROUPS | SUBGROUPS

Journal Article

Functiones et approximatio commentarii mathematici, ISSN 0208-6573, 03/2014, Volume 50, Issue 1, pp. 191 - 198

... \Sigma-measurable scalar functions defined on \Omega, equipped with the natural Mackey topology \tau(B(\Sigma),ca(\Sigma)). Let (E,\xi...

28A33 | strongly Mackey space | vector measures | topology of simple convergence | 46G10 | 47B38 | 28A25 | Mackey topologies | integration operators | spaces of bounded measurable functions

28A33 | strongly Mackey space | vector measures | topology of simple convergence | 46G10 | 47B38 | 28A25 | Mackey topologies | integration operators | spaces of bounded measurable functions

Journal Article

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