Representation of operators by kernels.

Peter Stollmann

Collectanea Mathematica (1991)

  • Volume: 42, Issue: 3, page 285-292
  • ISSN: 0010-0757

Abstract

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We prove that differences of order-continuous operators acting between function spaces can be represented with a pseudo-kernel, proved the underlying measure spaces satisfy certain (rather weak) conditions. To see that part of these conditions are necessary, we show that the strict localizability of a measure space can be characterized by the existence of a pseudo-kernel for a certain operator.

How to cite

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Stollmann, Peter. "Representation of operators by kernels.." Collectanea Mathematica 42.3 (1991): 285-292. <http://eudml.org/doc/42569>.

@article{Stollmann1991,
abstract = {We prove that differences of order-continuous operators acting between function spaces can be represented with a pseudo-kernel, proved the underlying measure spaces satisfy certain (rather weak) conditions. To see that part of these conditions are necessary, we show that the strict localizability of a measure space can be characterized by the existence of a pseudo-kernel for a certain operator.},
author = {Stollmann, Peter},
journal = {Collectanea Mathematica},
keywords = {Operadores; Kernel; Algebra de operadores; difference of order-continuous operators acting between function spaces; pseudo-kernel; strict localizibility of a measure space},
language = {eng},
number = {3},
pages = {285-292},
title = {Representation of operators by kernels.},
url = {http://eudml.org/doc/42569},
volume = {42},
year = {1991},
}

TY - JOUR
AU - Stollmann, Peter
TI - Representation of operators by kernels.
JO - Collectanea Mathematica
PY - 1991
VL - 42
IS - 3
SP - 285
EP - 292
AB - We prove that differences of order-continuous operators acting between function spaces can be represented with a pseudo-kernel, proved the underlying measure spaces satisfy certain (rather weak) conditions. To see that part of these conditions are necessary, we show that the strict localizability of a measure space can be characterized by the existence of a pseudo-kernel for a certain operator.
LA - eng
KW - Operadores; Kernel; Algebra de operadores; difference of order-continuous operators acting between function spaces; pseudo-kernel; strict localizibility of a measure space
UR - http://eudml.org/doc/42569
ER -

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