Results 1 to 10 of about 393,796 (25)
Partial b_{v}(s) and b_{v}(θ) metric spaces and related fixed point theorems [PDF]
FACTA UNIVERSITATIS (NIS), Ser. Math. Inform., Vol. 35, No 3
(2020), 621-640, 2018 In this paper, we introduced two new generalized metric spaces called partial b_{v}(s) and b_{v}({\theta}) metric spaces which extend b_{v}(s) metric space, b-metric space, rectangular metric space, v-generalized metric space, partial metric space, partial b-metric space, partial rectangular b-metric space and so on. We proved some famous theorems such
arxiv +1 more source
On the associated spaces of the Hardy space [PDF]
arXiv, 2023 Characterizations of the associated spaces and second associated spaces of the Hardy space on $\mathbb{R}^n$ are given. Some results on the associated spaces of the $\textrm{BMO}(\mathbb{R}^n)$ space are proved also.
arxiv
Reflexivity of a Banach Space with a Countable Vector Space Basis [PDF]
IOSR Journal of Mathematics (IOSR-JM), 18(1), (2022): pp. 36-38, 2022 All most all the function spaces over real or complex domains and spaces of sequences, that arise in practice as examples of normed complete linear spaces (Banach spaces), are reflexive. These Banach spaces are dual to their respective spaces of continuous linear functionals over the corresponding Banach spaces.
arxiv
QFS-space and its properties [PDF]
arXiv, 2022 In this paper, the concept of quasi-finitely separating map and quasiapproximate identity are introduced. Based on these concepts, QFS-spaces and quasicontinuous maps are defined. Properties and characterizations of QFS-spaces are explored. Main results are: (1) Each QFS-space is quasicontinuous space; (2) Closed subspaces, quasicontinuous projection ...
arxiv
Admissibly Represented Spaces and Qcb-Spaces [PDF]
arXiv, 2020 A basic concept of Type Two Theory of Effectivity (TTE) is the notion of an admissibly represented space. Admissibly represented spaces are closely related to qcb-spaces. The latter form a well-behaved subclass of topological spaces. We give a survey of basic facts about Type Two Theory of Effectivity, admissibly represented spaces, qcb-spaces and ...
arxiv
Non-reflective categories of some kinds of weakly sober spaces [PDF]
arXiv, 2022 Ern\'e weakened the concept of sobriety in order to extend the theory of sober spaces and locally hypercompact spaces to situations where directed joins were missing, and introduced and discussed three kinds of non-sober spaces: cut spaces, weakly sober spaces, and quasisober spaces.
arxiv
Namioka spaces and strongly Baire spaces [PDF]
Mat. Studii. 26, N1 (2006), 55-64, 2016 A notion of strongly Baire space is introduced. Its definition is a transfinite development of some equivalent reformulation of the Baire space definition. It is shown that every strongly Baire space is a Namioka space and every $\beta-\sigma$-unfavorable space is a strongly Baire space.
arxiv
The Fock space as a de Branges-Rovnyak space [PDF]
arXiv, 2018 We show that de Branges-Rovnyak spaces include as special cases a number of spaces, such as the Hardy space, the Fock space, the Hardy-Sobolev space and the Dirichlet space. We present a general framework in which all these spaces can be obtained by specializing a sequence that appears in the construction.
arxiv
On Function Spaces Related to H-sober Spaces [PDF]
arXiv, 2022 In this paper, we mainly study the function spaces related to H-sober spaces. For an irreducible subset system H and $T_{0}$ spaces $X$ and $Y$, it is proved that $Y$ is H-sober iff the function space $\mathbb{C}(X, Y)$ of all continuous functions $f : X\longrightarrow Y$ equipped with the topology of pointwise convergence is H-sober iff the function ...
arxiv
arXiv, 2005 A Smarandache multi-space is a union of $n$ spaces $A_1,A_2,..., A_n$ with some additional conditions holding. Combining Smarandache multi-spaces with linear vector spaces in classical linear algebra, the conception of multi-vector spaces is introduced. Some characteristics of a multi-vector space are obtained in this paper.
arxiv