Zobrazeno 1 - 10
of 1 722
pro vyhledávání: '"Continuous linear operator"'
Publikováno v:
Journal of Inequalities and Applications, Vol 2023, Iss 1, Pp 1-12 (2023)
Abstract The intersection of all zero-neighborhoods in a topological module over a topological ring is a bounded and closed submodule whose inherited topology is the trivial topology. In this manuscript, we prove that this is the smallest closed subm
Externí odkaz:
https://doaj.org/article/c7d378328439483bacf9465e13f5b2ff
Autor:
Han Wang, Jianrong Wu
Publikováno v:
AIMS Mathematics, Vol 7, Iss 7, Pp 11759-11771 (2022)
In this paper, firstly, we introduce the concepts of continuity and boundedness of linear operators between two fuzzy quasi-normed spaces with general continuous t-norms, prove the equivalence of them, and point out that the set of all continuous lin
Externí odkaz:
https://doaj.org/article/897206c17d504cc6831ebd7af6e6d4ed
Autor:
Varayu Boonpogkrong
Publikováno v:
Czechoslovak Mathematical Journal. 72:239-257
The space $${\cal H}{\cal K}$$ of Henstock-Kurzweil integrable functions on [a, b] is the uncountable union of Frechet spaces $${\cal H}{\cal K}$$ (X). In this paper, on each Frechet space $${\cal H}{\cal K}$$ (X), an F-norm is defined for a continuo
Autor:
Hassan Yassine
Publikováno v:
Journal of Dynamics and Differential Equations. 34:2229-2257
This paper develops a unified method to derive compactness properties and convergence to a steady state as well as decay estimates of global bounded solutions of the abstract semilinear second order integro-differential equation $$\begin{aligned} u_{
Publikováno v:
Ukrains’kyi Matematychnyi Zhurnal. 73:341-353
UDC 517.927 We consider a wide class of linear boundary-value problems for systems of $m$ ordinary differential equations of order $r$ known as the general boundary-value problems. Their solutions $y\colon[a,b]\to \mathbb{C}^{m}$ belong to the Sobole
Akademický článek
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Akademický článek
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Autor:
Chiu-Cheng Chang
Publikováno v:
Tamkang Journal of Mathematics. 27:301-313
In this paper, we show that every continuous linear operator from $H(\Omega_w\times \Omega_z)$ to $H(\Omega_w\times \Omega_{\zeta})$ has an integral representation with a kernel function $M(z, w, \zeta)$. We give two sufficient conditions on $M(z, w,
Autor:
Michal Johanis, Petr Hájek
Publikováno v:
Revista Matemática Complutense. 33:859-869
We consider the following problem (which is a generalisation of a folklore result Proposition 1 below): given a continuous linear operator $$T:X\rightarrow Y$$ , where Y is a Banach space with a (long) sub-symmetric basis, under which conditions can
Autor:
Murat Yurdakul, Elif Uyanik
Publikováno v:
TURKISH JOURNAL OF MATHEMATICS. 43:2494-2498
Let l be a Banach sequence space with a monotone norm in which the canonical system (e_{n}) is an unconditional basis. We show that if there exists a continuous linear unbounded operator between l-K\"{o}the spaces, then there exists a continuous unbo