Results 1 to 10 of about 3,798 (134)

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

Sahand 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
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Banach‐Mackey spaces [PDF]

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

Sahand 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
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Surjective isometries on Banach sequence spaces: A survey

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

Applied 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
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K-frames for Banach Spaces

Journal 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
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Ergodic Banach spaces

Advances in Mathematics, 2005
We show that any Banach space contains a continuum of non isomorphic subspaces or a minimal subspace. We define an ergodic Banach space $X$ as a space such that $E_0$ Borel reduces to isomorphism on the set of subspaces of $X$, and show that every Banach space is either ergodic or contains a subspace with an unconditional basis $ which is ...
Ferenczi, Valentin, Rosendal, Christian
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On Nonseparable Banach Spaces [PDF]

Transactions of the American Mathematical Society, 1982
Combining combinatorial methods from set theory with the functional structure of certain Banach spaces we get some results on the isomorphic structure of nonseparable Banach spaces. The conclusions of the paper, in conjunction with already known results, give complete answers to problems of the theory of Banach spaces. An interesting point here is that
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Multipliers of Banach valued weighted function spaces

International Journal of Mathematics and Mathematical Sciences, 2000
We generalize Banach valued spaces to Banach valued weighted function spaces and study the multipliers space of these spaces. We also show the relationship between multipliers and tensor product of Banach valued weighted function spaces.
Serap Öztop
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$Q$-Reflexive Banach Spaces

Rocky Mountain Journal of Mathematics, 1997
Let $E$ be a Banach space and, for any positive integer $n$, let ${\cal P}(^nE)$ denote the Banach space of continuous $n$-homogeneous polynomials on $E$. Davie and Gamelin showed that the natural extension mapping from ${\cal P}(^nE)$ to ${\cal P}(^nE^{\ast\ast})$ is an isometry into the latter space.
Aron, Richard M., Dineen, Seán
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