Measure of non-compactness of operators interpolated by the real method

Radosław Szwedek

Studia Mathematica (2006)

  • Volume: 175, Issue: 2, page 157-174
  • ISSN: 0039-3223

Abstract

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We study the measure of non-compactness of operators between abstract real interpolation spaces. We prove an estimate of this measure, depending on the fundamental function of the space. An application to the spectral theory of linear operators is presented.

How to cite

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Radosław Szwedek. "Measure of non-compactness of operators interpolated by the real method." Studia Mathematica 175.2 (2006): 157-174. <http://eudml.org/doc/285319>.

@article{RadosławSzwedek2006,
abstract = {We study the measure of non-compactness of operators between abstract real interpolation spaces. We prove an estimate of this measure, depending on the fundamental function of the space. An application to the spectral theory of linear operators is presented.},
author = {Radosław Szwedek},
journal = {Studia Mathematica},
keywords = {measure of noncompactness; interpolation; linear operators},
language = {eng},
number = {2},
pages = {157-174},
title = {Measure of non-compactness of operators interpolated by the real method},
url = {http://eudml.org/doc/285319},
volume = {175},
year = {2006},
}

TY - JOUR
AU - Radosław Szwedek
TI - Measure of non-compactness of operators interpolated by the real method
JO - Studia Mathematica
PY - 2006
VL - 175
IS - 2
SP - 157
EP - 174
AB - We study the measure of non-compactness of operators between abstract real interpolation spaces. We prove an estimate of this measure, depending on the fundamental function of the space. An application to the spectral theory of linear operators is presented.
LA - eng
KW - measure of noncompactness; interpolation; linear operators
UR - http://eudml.org/doc/285319
ER -

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