Isomorphic properties in spaces of compact operators

Ioana Ghenciu

Commentationes Mathematicae Universitatis Carolinae (2023)

  • Volume: 64, Issue: 2, page 175-184
  • ISSN: 0010-2628

Abstract

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We introduce the definition of p -limited completely continuous operators, 1 ≤ p < ∞ . The question of whether a space of operators has the property that every p -limited subset is relative compact when the dual of the domain and the codomain have this property is studied using p -limited completely continuous evaluation operators.

How to cite

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Ghenciu, Ioana. "Isomorphic properties in spaces of compact operators." Commentationes Mathematicae Universitatis Carolinae 64.2 (2023): 175-184. <http://eudml.org/doc/299165>.

@article{Ghenciu2023,
abstract = {We introduce the definition of $p$-limited completely continuous operators, $1\le p<\infty $. The question of whether a space of operators has the property that every $p$-limited subset is relative compact when the dual of the domain and the codomain have this property is studied using $p$-limited completely continuous evaluation operators.},
author = {Ghenciu, Ioana},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {$p$-limited set; limited set; space of compact operators},
language = {eng},
number = {2},
pages = {175-184},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Isomorphic properties in spaces of compact operators},
url = {http://eudml.org/doc/299165},
volume = {64},
year = {2023},
}

TY - JOUR
AU - Ghenciu, Ioana
TI - Isomorphic properties in spaces of compact operators
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2023
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 64
IS - 2
SP - 175
EP - 184
AB - We introduce the definition of $p$-limited completely continuous operators, $1\le p<\infty $. The question of whether a space of operators has the property that every $p$-limited subset is relative compact when the dual of the domain and the codomain have this property is studied using $p$-limited completely continuous evaluation operators.
LA - eng
KW - $p$-limited set; limited set; space of compact operators
UR - http://eudml.org/doc/299165
ER -

References

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