Advance in Topology and Functional Analysis — In Honour of María Jesús Chasco's 65th Birthday
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ArtikelUtgivningsinformation: MDPI - Multidisciplinary Digital Publishing Institute 2024Innehållstyp: - text
- computer
- online resource
- 9783725813896
- 9783725813902
- Mathematics and Science
- Mathematics
- Applied mathematics
- (locally) compact abelian group
- 0-dimensional
- Brunn–Minkowski inequality
- Fréchet space
- Fubini's theorem
- G-space
- Hamiltonian vector field
- Krein's Theorem
- LCA group
- LCA groups
- Lie algebra
- Lie group
- Mackey group
- Poisson bracket
- Poisson vector space
- Pontryagin Duality
- Pontryagin duality
- Pontryagin reflexive group
- Roelcke uniformity
- Schur property
- Schwartz group
- T-subgroup
- Tannaka duality
- absolutely summable sequence
- aggregation function
- analyticity
- barrelled space
- bounded set
- character
- cocycle
- compact group
- compactly generated space
- compatible group topology
- completion
- convergence
- determining subgroup
- direct sum
- distinguished space
- dual bundle
- duality
- exotic torus
- factorization
- factorizations of a group
- full free subgroup
- functorial subgroup
- group
- group action
- homomorphism
- hypocontinuity
- infinite-dimensional Lie group
- injective and projective tensor product
- isoperimetric inequality
- k-space
- locally quasi-convex
- locally quasi-convex group
- minimal group
- monoid
- multilinear map
- normed space
- nuclear group
- nuclea
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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.
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