Bochner representable operators on Köthe-Bochner spaces

Marian Nowak

Commentationes Mathematicae (2008)

  • Volume: 48, Issue: 2
  • ISSN: 2080-1211

Abstract

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Let E be a Banach function space and X be a real Banach space. We study Bochner representable operators from a Köthe-Bochner space E ( X ) to a Banach space Y . We consider the problem of compactness and weak compactness of Bochner representable operators from E ( X ) (provided with the natural mixed topology) to Y .

How to cite

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Marian Nowak. "Bochner representable operators on Köthe-Bochner spaces." Commentationes Mathematicae 48.2 (2008): null. <http://eudml.org/doc/291566>.

@article{MarianNowak2008,
abstract = {Let $E$ be a Banach function space and $X$ be a real Banach space. We study Bochner representable operators from a Köthe-Bochner space $E(X)$ to a Banach space $Y$. We consider the problem of compactness and weak compactness of Bochner representable operators from $E(X)$ (provided with the natural mixed topology) to $Y$.},
author = {Marian Nowak},
journal = {Commentationes Mathematicae},
keywords = {Köthe-Bochner spaces; Generalized DF-spaces; Bochner representable operators; Weakly compact operators; Compact operators; Mixed topologies; Mackey topologies},
language = {eng},
number = {2},
pages = {null},
title = {Bochner representable operators on Köthe-Bochner spaces},
url = {http://eudml.org/doc/291566},
volume = {48},
year = {2008},
}

TY - JOUR
AU - Marian Nowak
TI - Bochner representable operators on Köthe-Bochner spaces
JO - Commentationes Mathematicae
PY - 2008
VL - 48
IS - 2
SP - null
AB - Let $E$ be a Banach function space and $X$ be a real Banach space. We study Bochner representable operators from a Köthe-Bochner space $E(X)$ to a Banach space $Y$. We consider the problem of compactness and weak compactness of Bochner representable operators from $E(X)$ (provided with the natural mixed topology) to $Y$.
LA - eng
KW - Köthe-Bochner spaces; Generalized DF-spaces; Bochner representable operators; Weakly compact operators; Compact operators; Mixed topologies; Mackey topologies
UR - http://eudml.org/doc/291566
ER -

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