Locally solid topologies on vector valued function spaces.

Krzysztof Feledziak; Marian Nowak

Collectanea Mathematica (1997)

  • Volume: 48, Issue: 4-5-6, page 487-511
  • ISSN: 0010-0757

Abstract

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Locally solid topologies on vector valued function spaces are studied. The relationship between the solid and topological structures of such spaces is examined.

How to cite

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Feledziak, Krzysztof, and Nowak, Marian. "Locally solid topologies on vector valued function spaces.." Collectanea Mathematica 48.4-5-6 (1997): 487-511. <http://eudml.org/doc/40751>.

@article{Feledziak1997,
abstract = {Locally solid topologies on vector valued function spaces are studied. The relationship between the solid and topological structures of such spaces is examined.},
author = {Feledziak, Krzysztof, Nowak, Marian},
journal = {Collectanea Mathematica},
keywords = {Espacios de funciones vectoriales; Espacios topológicos; Espacios de Banach; Algebras; Valoración; Relaciones; vector valued function; Köthe function space; Banach function space; ideal space; Orlicz space; topological vector space; locally solid space; modular space; strongly measurable functions with values in a Banach space; continuity of the embedding; convergence theorems of Lebesgue and Vitali; finest topology in Orlicz-Bochner spaces},
language = {eng},
number = {4-5-6},
pages = {487-511},
title = {Locally solid topologies on vector valued function spaces.},
url = {http://eudml.org/doc/40751},
volume = {48},
year = {1997},
}

TY - JOUR
AU - Feledziak, Krzysztof
AU - Nowak, Marian
TI - Locally solid topologies on vector valued function spaces.
JO - Collectanea Mathematica
PY - 1997
VL - 48
IS - 4-5-6
SP - 487
EP - 511
AB - Locally solid topologies on vector valued function spaces are studied. The relationship between the solid and topological structures of such spaces is examined.
LA - eng
KW - Espacios de funciones vectoriales; Espacios topológicos; Espacios de Banach; Algebras; Valoración; Relaciones; vector valued function; Köthe function space; Banach function space; ideal space; Orlicz space; topological vector space; locally solid space; modular space; strongly measurable functions with values in a Banach space; continuity of the embedding; convergence theorems of Lebesgue and Vitali; finest topology in Orlicz-Bochner spaces
UR - http://eudml.org/doc/40751
ER -

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