Results 41 to 50 of about 367,122 (181)

Free Subspaces of Free Locally Convex Spaces

Journal of Function Spaces, 2018
If X and Y are Tychonoff spaces, let L(X) and L(Y) be the free locally convex space over X and Y, respectively. For general X and Y, the question of whether L(X) can be embedded as a topological vector subspace of L(Y) is difficult.
Saak S. Gabriyelyan, Sidney A. Morris
doaj   +1 more source

Properties of locally semi-compact Ir-topological groups

Open Mathematics, 2023
This study investigates some topological properties of locally semi-compact Ir-topological groups and establishes the relationship between Ir-topological groups and semi-compact spaces.
Wang ZhongLi, Teh Wen Chean
doaj   +1 more source

The group of characters of a pseudocompact locally compact semitopological semigroup

Applied General Topology
We prove that each semitopological semigroup has a reflection in the class of abelian cancellative semitopological semigroups. Then we use this reflection to prove that the group of characters of a locally compact pseudocompact topological semigroup with
Julio César Hernández Arzusa
doaj   +1 more source

The relations between separately and jointly proprities of multi-valued mappings (in Ukrainian) [PDF]

Математичні Студії, 2011
We prove the following statement. Let $X$ be a topological space, $Y$ a topological $T_1$ first-countable space,$Z$ a metrizable locally compact $sigma$-compact space and $Fcolon Ximes Y o Z$ a close-valued separately continuous mapping.
V. K. Maslyuchenko, V. V. Mykhaylyuk, O. G. Fotiy   +2 more
doaj  

Weak compactness in locally convex spaces [PDF]

Transactions of the American Mathematical Society, 1973
The notion of weak compactness plays a central role in the theory of locally convex topological vector spaces. However, in the statement of many theorems, completeness of the space, or at least quasi-completeness of the space in the Mackey topology is an important assumption.
openaire   +1 more source

On continuity of measurable group representations and homomorphisms [PDF]

, 2015
Let G be a locally compact group, and let U be its unitary representation on a Hilbert space H. Endow the space L(H) of linear bounded operators on H with weak operator topology. We prove that if U is a measurable map from G to L(H) then it is continuous.
Kuznetsova, Yulia
core  

Stone duality and quasi-orbit spaces for generalised C*-inclusions

, 2018
Let $A$ and $B$ be $C^*$-algebras with $A\subseteq M(B)$. Exploiting Stone duality and a Galois connection between restriction and induction for ideals in $A$ and $B$, we identify conditions that allow to define a quasi-orbit space and a quasi-orbit map ...
Kwaśniewski, B. K., Meyer, R.
core   +1 more source

On the Generalized Weighted Lebesgue Spaces of Locally Compact Groups

Abstract and Applied Analysis, 2011
Let 𝐺 be a locally compact group with a fixed left Haar measure 𝜆 and Ω be a system of weights on 𝐺. In this paper, we deal with locally convex space 𝐿𝑝(𝐺,Ω) equipped with the locally convex topology generated by the family of norms (‖.‖𝑝,𝜔)𝜔∈Ω. We study
I. Akbarbaglu, S. Maghsoudi
doaj   +1 more source

Quantum locally compact metric spaces

Journal of Functional Analysis, 2013
We introduce the notion of a quantum locally compact metric space, which is the noncommutative analogue of a locally compact metric space, and generalize to the nonunital setting the notion of quantum metric spaces introduced by Rieffel. We then provide several examples of such structures, including the Moyal plane, as well as compact quantum metric ...
openaire   +2 more sources

On the Fuzzy Number Space with the Level Convergence Topology

Journal of Function Spaces and Applications, 2012
We characterize compact sets of 𝔼1 endowed with the level convergence topology τℓ. We also describe the completion (𝔼1̂,𝒰̂) of 𝔼1 with respect to its natural uniformity, that is, the pointwise uniformity 𝒰, and show other topological properties of 𝔼1 ...
J. J. Font, A. Miralles, M. Sanchis
doaj   +1 more source