Advance in Topology and Functional Analysis — In Honour of María Jesús Chasco’s 65th Birthday
The interaction between topology and functional analysis has been a wellspring of powerful mathematical ideas and developments since the early stages of both disciplines. It is obvious that many classical theorems from functional analysis have a strong topological flavour. In the other direction, pr...
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| التنسيق: | Online |
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| اللغة: | الإنجليزية |
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MDPI - Multidisciplinary Digital Publishing Institute
2024
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| الوصول للمادة أونلاين: | ONIX_20240906_9783725813896_146 |
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| collection | Directory of Open Access Books |
| description | The interaction between topology and functional analysis has been a wellspring of powerful mathematical ideas and developments since the early stages of both disciplines. It is obvious that many classical theorems from functional analysis have a strong topological flavour. In the other direction, probably the best-known example is the way abstract harmonic analysis informs many essential features of locally compact groups and Pontryagin duality. This influence is also exerted through many tools and concepts from the theory of topological vector spaces that have been either generalized to topological abelian groups or adopted as templates to study their structure and duality properties beyond the locally compact case. Besides topological groups, this Special Issue also contains papers on fuzzy groups, semigroups, topological vector spaces and real analysis. Their authors are well-known specialists and the different viewpoints provided by them will surely inspire future research on these exciting topics. This Special Issue pays tribute to María Jesús Chasco's mathematical career on the occasion of her 65th birthday. |
| format | Online |
| id | doab-20.500.12854ir-143784 |
| institution | Directory of Open Access Books |
| language | eng |
| publishDate | 2024 |
| publishDateRange | 2024 |
| publishDateSort | 2024 |
| publisher | MDPI - Multidisciplinary Digital Publishing Institute |
| publisherStr | MDPI - Multidisciplinary Digital Publishing Institute |
| record_format | ojs |
| spelling | doab-20.500.12854ir-1437842024-09-06T08:25:22Z Advance in Topology and Functional Analysis — In Honour of María Jesús Chasco’s 65th Birthday Martín-Peinador, Elena Domínguez, Xabier Stevens, T. Christine Tkachenko, Mikhail factorizations of a group thin subset of a group distinguished space injective and projective tensor product vector-valued continuous function Fréchet space nuclear space monoid group character homomorphism factorization Roelcke uniformity topological group Lie group compact group pro-Lie group Lie algebra duality Tannaka duality Pontryagin duality LCA group aggregation function T-subgroup strictly monotone function normed space Mackey group locally quasi-convex compatible group topology Fubini’s theorem Brunn–Minkowski inequality isoperimetric inequality volumes of section of balls semigroup topology permutation convergence bounded set group action G-space barrelled space full free subgroup (locally) compact abelian group Pontryagin Duality totally disconnected 0-dimensional precompact functorial subgroup quasi-torsion element minimal group totally minimal group exotic torus summable sequence absolutely summable sequence locally quasi-convex group Schwartz group nuclear group Pontryagin reflexive group Schur property LCA groups vector bundle dual bundle direct sum completion tensor product cocycle smoothness analyticity hypocontinuity k-space compactly generated space infinite-dimensional Lie group Poisson vector space Poisson bracket Hamiltonian vector field multilinear map quasi-convex subset determining subgroup quasi-convex compactness property Krein’s Theorem series sum range n/a thema EDItEUR::P Mathematics and Science thema EDItEUR::P Mathematics and Science::PB Mathematics thema EDItEUR::P Mathematics and Science::PB Mathematics::PBW Applied mathematics The interaction between topology and functional analysis has been a wellspring of powerful mathematical ideas and developments since the early stages of both disciplines. It is obvious that many classical theorems from functional analysis have a strong topological flavour. In the other direction, probably the best-known example is the way abstract harmonic analysis informs many essential features of locally compact groups and Pontryagin duality. This influence is also exerted through many tools and concepts from the theory of topological vector spaces that have been either generalized to topological abelian groups or adopted as templates to study their structure and duality properties beyond the locally compact case. Besides topological groups, this Special Issue also contains papers on fuzzy groups, semigroups, topological vector spaces and real analysis. Their authors are well-known specialists and the different viewpoints provided by them will surely inspire future research on these exciting topics. This Special Issue pays tribute to María Jesús Chasco's mathematical career on the occasion of her 65th birthday. 2024-09-06T08:25:17Z 2024-09-06T08:25:17Z 2024 book ONIX_20240906_9783725813896_146 9783725813896 9783725813902 https://directory.doabooks.org/handle/20.500.12854/143784 eng application/octet-stream Attribution-NonCommercial-NoDerivatives 4.0 International https://mdpi.com/books/pdfview/book/9521 https://mdpi.com/books/pdfview/book/9521 MDPI - Multidisciplinary Digital Publishing Institute 10.3390/books978-3-7258-1390-2 10.3390/books978-3-7258-1390-2 46cabcaa-dd94-4bfe-87b4-55023c1b36d0 9783725813896 9783725813902 open access |
| spellingShingle | factorizations of a group thin subset of a group distinguished space injective and projective tensor product vector-valued continuous function Fréchet space nuclear space monoid group character homomorphism factorization Roelcke uniformity topological group Lie group compact group pro-Lie group Lie algebra duality Tannaka duality Pontryagin duality LCA group aggregation function T-subgroup strictly monotone function normed space Mackey group locally quasi-convex compatible group topology Fubini’s theorem Brunn–Minkowski inequality isoperimetric inequality volumes of section of balls semigroup topology permutation convergence bounded set group action G-space barrelled space full free subgroup (locally) compact abelian group Pontryagin Duality totally disconnected 0-dimensional precompact functorial subgroup quasi-torsion element minimal group totally minimal group exotic torus summable sequence absolutely summable sequence locally quasi-convex group Schwartz group nuclear group Pontryagin reflexive group Schur property LCA groups vector bundle dual bundle direct sum completion tensor product cocycle smoothness analyticity hypocontinuity k-space compactly generated space infinite-dimensional Lie group Poisson vector space Poisson bracket Hamiltonian vector field multilinear map quasi-convex subset determining subgroup quasi-convex compactness property Krein’s Theorem series sum range n/a thema EDItEUR::P Mathematics and Science thema EDItEUR::P Mathematics and Science::PB Mathematics thema EDItEUR::P Mathematics and Science::PB Mathematics::PBW Applied mathematics Advance in Topology and Functional Analysis — In Honour of María Jesús Chasco’s 65th Birthday |
| title | Advance in Topology and Functional Analysis — In Honour of María Jesús Chasco’s 65th Birthday |
| title_full | Advance in Topology and Functional Analysis — In Honour of María Jesús Chasco’s 65th Birthday |
| title_fullStr | Advance in Topology and Functional Analysis — In Honour of María Jesús Chasco’s 65th Birthday |
| title_full_unstemmed | Advance in Topology and Functional Analysis — In Honour of María Jesús Chasco’s 65th Birthday |
| title_short | Advance in Topology and Functional Analysis — In Honour of María Jesús Chasco’s 65th Birthday |
| title_sort | advance in topology and functional analysis in honour of maria jesus chasco s 65th birthday |
| topic | factorizations of a group thin subset of a group distinguished space injective and projective tensor product vector-valued continuous function Fréchet space nuclear space monoid group character homomorphism factorization Roelcke uniformity topological group Lie group compact group pro-Lie group Lie algebra duality Tannaka duality Pontryagin duality LCA group aggregation function T-subgroup strictly monotone function normed space Mackey group locally quasi-convex compatible group topology Fubini’s theorem Brunn–Minkowski inequality isoperimetric inequality volumes of section of balls semigroup topology permutation convergence bounded set group action G-space barrelled space full free subgroup (locally) compact abelian group Pontryagin Duality totally disconnected 0-dimensional precompact functorial subgroup quasi-torsion element minimal group totally minimal group exotic torus summable sequence absolutely summable sequence locally quasi-convex group Schwartz group nuclear group Pontryagin reflexive group Schur property LCA groups vector bundle dual bundle direct sum completion tensor product cocycle smoothness analyticity hypocontinuity k-space compactly generated space infinite-dimensional Lie group Poisson vector space Poisson bracket Hamiltonian vector field multilinear map quasi-convex subset determining subgroup quasi-convex compactness property Krein’s Theorem series sum range n/a thema EDItEUR::P Mathematics and Science thema EDItEUR::P Mathematics and Science::PB Mathematics thema EDItEUR::P Mathematics and Science::PB Mathematics::PBW Applied mathematics |
| topic_facet | factorizations of a group thin subset of a group distinguished space injective and projective tensor product vector-valued continuous function Fréchet space nuclear space monoid group character homomorphism factorization Roelcke uniformity topological group Lie group compact group pro-Lie group Lie algebra duality Tannaka duality Pontryagin duality LCA group aggregation function T-subgroup strictly monotone function normed space Mackey group locally quasi-convex compatible group topology Fubini’s theorem Brunn–Minkowski inequality isoperimetric inequality volumes of section of balls semigroup topology permutation convergence bounded set group action G-space barrelled space full free subgroup (locally) compact abelian group Pontryagin Duality totally disconnected 0-dimensional precompact functorial subgroup quasi-torsion element minimal group totally minimal group exotic torus summable sequence absolutely summable sequence locally quasi-convex group Schwartz group nuclear group Pontryagin reflexive group Schur property LCA groups vector bundle dual bundle direct sum completion tensor product cocycle smoothness analyticity hypocontinuity k-space compactly generated space infinite-dimensional Lie group Poisson vector space Poisson bracket Hamiltonian vector field multilinear map quasi-convex subset determining subgroup quasi-convex compactness property Krein’s Theorem series sum range n/a thema EDItEUR::P Mathematics and Science thema EDItEUR::P Mathematics and Science::PB Mathematics thema EDItEUR::P Mathematics and Science::PB Mathematics::PBW Applied mathematics |
| url | ONIX_20240906_9783725813896_146 |