Locally convex domains of integral operators

Paweł Szeptycki

Banach Center Publications (2005)

  • Volume: 67, Issue: 1, page 357-361
  • ISSN: 0137-6934

Abstract

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We have shown in [1] that domains of integral operators are not in general locally convex. In the case when such a domain is locally convex we show that it is an inductive limit of L¹-spaces with weights.

How to cite

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Paweł Szeptycki. "Locally convex domains of integral operators." Banach Center Publications 67.1 (2005): 357-361. <http://eudml.org/doc/281793>.

@article{PawełSzeptycki2005,
abstract = {We have shown in [1] that domains of integral operators are not in general locally convex. In the case when such a domain is locally convex we show that it is an inductive limit of L¹-spaces with weights.},
author = {Paweł Szeptycki},
journal = {Banach Center Publications},
keywords = {integral operators; weights; metric topology; DL-topology; SDL-topology; CDL-topology; SCDL-topology; Maurey-Nikishin theorem},
language = {eng},
number = {1},
pages = {357-361},
title = {Locally convex domains of integral operators},
url = {http://eudml.org/doc/281793},
volume = {67},
year = {2005},
}

TY - JOUR
AU - Paweł Szeptycki
TI - Locally convex domains of integral operators
JO - Banach Center Publications
PY - 2005
VL - 67
IS - 1
SP - 357
EP - 361
AB - We have shown in [1] that domains of integral operators are not in general locally convex. In the case when such a domain is locally convex we show that it is an inductive limit of L¹-spaces with weights.
LA - eng
KW - integral operators; weights; metric topology; DL-topology; SDL-topology; CDL-topology; SCDL-topology; Maurey-Nikishin theorem
UR - http://eudml.org/doc/281793
ER -

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