A note on γ-radonifying and summing operators

Zdzisław Brzeźniak; Hongwei Long

Banach Center Publications (2015)

  • Volume: 105, Issue: 1, page 43-57
  • ISSN: 0137-6934

Abstract

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In this note, we discuss certain generalizations of γ-radonifying operators and their applications to the regularity for linear stochastic evolution equations on some special Banach spaces. Furthermore, we also consider a more general class of operators, namely the so-called summing operators and discuss the application to the compactness of the heat semi-group between weighted L p -spaces.

How to cite

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Zdzisław Brzeźniak, and Hongwei Long. "A note on γ-radonifying and summing operators." Banach Center Publications 105.1 (2015): 43-57. <http://eudml.org/doc/282437>.

@article{ZdzisławBrzeźniak2015,
abstract = {In this note, we discuss certain generalizations of γ-radonifying operators and their applications to the regularity for linear stochastic evolution equations on some special Banach spaces. Furthermore, we also consider a more general class of operators, namely the so-called summing operators and discuss the application to the compactness of the heat semi-group between weighted $L^\{p\}$-spaces.},
author = {Zdzisław Brzeźniak, Hongwei Long},
journal = {Banach Center Publications},
keywords = {-radonifying operators; stochastic evolution equations; summing operators; heat semi-group},
language = {eng},
number = {1},
pages = {43-57},
title = {A note on γ-radonifying and summing operators},
url = {http://eudml.org/doc/282437},
volume = {105},
year = {2015},
}

TY - JOUR
AU - Zdzisław Brzeźniak
AU - Hongwei Long
TI - A note on γ-radonifying and summing operators
JO - Banach Center Publications
PY - 2015
VL - 105
IS - 1
SP - 43
EP - 57
AB - In this note, we discuss certain generalizations of γ-radonifying operators and their applications to the regularity for linear stochastic evolution equations on some special Banach spaces. Furthermore, we also consider a more general class of operators, namely the so-called summing operators and discuss the application to the compactness of the heat semi-group between weighted $L^{p}$-spaces.
LA - eng
KW - -radonifying operators; stochastic evolution equations; summing operators; heat semi-group
UR - http://eudml.org/doc/282437
ER -

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