Results 1 to 10 of about 142,886 (250)

On the spaces of mappings on Banach spaces [PDF]

open access: bronzeJournal of the Australian Mathematical Society, 1967
Let E be a real Banach space. A mapping f of E into E is said to be bounded if f maps every bounded set into a bounded set.
Sadayuki Yamamuro
openalex   +4 more sources

On Relative Reproducing Kernel Banach Spaces: Definitions, Semi-Inner Product and Feature Maps [PDF]

open access: yesSahand Communications in Mathematical Analysis, 2023
In this paper, a special class of relative reproducing kernel Banach spaces a semi-inner product is studied. We extend the concept of relative reproducing kernel Hilbert spaces to Banach spaces. We present these relative reproducing kernel Banach spaces  
Mohammadreza Foroutan
doaj   +1 more source

On Decoupling in Banach Spaces [PDF]

open access: yesJournal of Theoretical Probability, 2021
AbstractWe consider decoupling inequalities for random variables taking values in a Banach space X. We restrict the class of distributions that appear as conditional distributions while decoupling and show that each adapted process can be approximated by a Haar-type expansion in which only the pre-specified conditional distributions appear.
Cox, Sonja, Geiss, Stefan
openaire   +4 more sources

A Class of Hereditarily $ell_p(c_0)$ Banach spaces [PDF]

open access: yesSahand Communications in Mathematical Analysis, 2019
We extend the class of Banach sequence spaces constructed by Ledari, as presented in ''A class of hereditarily $ell_1$ Banach spaces without Schur property'' and obtain a new class of hereditarily $ell_p(c_0)$ Banach spaces for $1leq ...
Somayeh Shahraki, Alireza Ahmadi Ledari
doaj   +1 more source

Surjective isometries on Banach sequence spaces: A survey

open access: yesConcrete Operators, 2022
In this survey, we present several results related to characterizing the surjective isometries on Banach sequence spaces. Our survey includes full proofs of these characterizations for the classical spaces as well as more recent results for combinatorial
Antunes Leandro, Beanland Kevin
doaj   +1 more source

Fejér monotonicity and fixed point theorems with applications to a nonlinear integral equation in complex valued Banach spaces

open access: yesApplied General Topology, 2020
It is our purpose in this paper to prove some fixed point results and Fej´er monotonicity of some faster fixed point iterative sequences generated by some nonlinear operators satisfying rational inequality in complex valued Banach spaces.
Godwin Amechi Okeke, Mujahid Abbas
doaj   +1 more source

K-frames for Banach Spaces

open access: yesJournal of Function Spaces, 2022
In order to reconstruct elements from the range of a linear bounded operator K on a separable Banach space, concepts of K-frames and K∗-atomic systems for Banach spaces are introduced, the relationship between the two is discussed, and the sufficient ...
Baoguang Sun, Chunyan Li
doaj   +1 more source

Banach‐Mackey spaces [PDF]

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1991
In recent publications the concepts of fast completeness and local barreledness have been shown to be related to the property of all weak‐* bounded subsets of the dual (of a locally convex space) being strongly bounded. In this paper we clarify those relationships, as well as giving several different characterizations of this property.
Jing Hui Qiu, Kelly McKennon
openaire   +2 more sources

Skewness in Banach spaces [PDF]

open access: yesTransactions of the American Mathematical Society, 1983
Let E E be a Banach space. One often wants to measure how far E E is from being a Hilbert space. In this paper we define the skewness s ( E ) s(E) of a Banach space E E , 0 ⩽ s ( E ) ⩽ 2
Bruce Reznick, Simon Fitzpatrick
openaire   +2 more sources

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