Results 51 to 60 of about 796,048 (181)
Fixed points and selections of multifunctions on spaces with convexity [PDF]
Int. J. Math. Math. Sci. 24 (2000) 9, 595-612, 1999 We provide theorems containnig both Kakutani and Browder fixed points theorems as immediate corollaries, as well as Michael and Browder selection theorems. For this purpose we introduce convex structures more general than those of locally convex and non-locally convex topological vector spaces or generalized convexity structures due to Michael, Van de ...
arxiv
On the parameterized Tate construction
Journal of Topology, Volume 18, Issue 1, March 2025.Abstract We introduce and study a genuine equivariant refinement of the Tate construction associated to an extension Ĝ$\widehat{G}$ of a finite group G$G$ by a compact Lie group K$K$, which we call the parameterized Tate construction (−)tGK$(-)^{t_G K}$.
J. D. Quigley, Jay Shah
wiley +1 more source
The minimal context for local boundedness in topological vector spaces [PDF]
arXiv, 2012 The local boundedness of classes of operators is analyzed on different subsets directly related to their Fitzpatrick functions and characterizations of the topological vector spaces for which that local boundedness holds is given in terms of the uniform boundedness principle.
arxiv
Advanced Science, Volume 12, Issue 8, February 24, 2025.This article critically reviews the structure–mechanism–property relationships and interaction mechanisms of lattice metamaterials enabled by additive manufacturing in a range of physical (mechanical, acoustic, electromagnetic/optical, and thermal) fields.
Winston Wai Shing Ma +12 more
wiley +1 more source
Duality of $κ$-normed topological vector spaces and their applications [PDF]
arXiv, 2001 A duality of $\kappa$-normed topological vector spaces is defined and investigated. For such spaces the analog of the Mackey-Arens theorem is proved. There are investigated cases, when $\kappa$-normability of a topological vector space implies its local convexity.
arxiv
A Primer on Topological Vector Spaces and Locally Convex Spaces [PDF]
, 2022 Alexander Schmeding
openalex +1 more source
Order bornological spaces and order ultrabornological spaces [PDF]
arXiv, 2015 Ordered locally convex spaces is an important classes of spaces in the theory of ordered topological vector spaces just as locally convex spaces in the theory of topological vector spaces. Some special classes of ordered locally convex spaces such as order infrabarrelled spaces have been studied.
arxiv
A Note on the Topological Transversality Theorem for Weakly Upper Semicontinuous, Weakly Compact Maps on Locally Convex Topological Vector Spaces [PDF]
, 2020 Donal O’Regan
openalex +1 more source
Implicit Functions from Topological Vector Spaces to Banach Spaces [PDF]
arXiv, 2003 We prove implicit function theorems for mappings on topological vector spaces over valued fields. In the real and complex cases, we obtain implicit function theorems for mappings from arbitrary (not necessarily locally convex) topological vector spaces to Banach spaces.
arxiv
A complete locally convex space of countable dimension admitting an operator with no invariant subspaces [PDF]
arXiv, 2010 We construct a complete locally convex topological vector space $X$ of countable algebraic dimension and a continuous linear operator $T:X\to X$ such that $T$ has no non-trivial closed invariant subspaces.
arxiv