On the generalized Kato spectrum

Benharrat, Mohammed, and Messirdi, Bekkai. "On the generalized Kato spectrum." Serdica Mathematical Journal 37.4 (2011): 283-294. <http://eudml.org/doc/281557>.

@article{Benharrat2011,
abstract = {2010 Mathematics Subject Classification: 47A10.We show that the symmetric difference between the generalized Kato spectrum and the essential spectrum defined in [7] by sec(T) = \{l О C ; R(lI-T) is not closed \} is at most countable and we also give some relationship between this spectrum and the SVEP theory.},
author = {Benharrat, Mohammed, Messirdi, Bekkai},
journal = {Serdica Mathematical Journal},
keywords = {Semi-Regular Operators; Kato Type Operators; Generalized Kato Spectrum; Essential Spectrum; semi-regular operators; Kato type operators; generalized Kato spectrum; essential spectrum; single-valued extension property},
language = {eng},
number = {4},
pages = {283-294},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {On the generalized Kato spectrum},
url = {http://eudml.org/doc/281557},
volume = {37},
year = {2011},
}

TY - JOUR
AU - Benharrat, Mohammed
AU - Messirdi, Bekkai
TI - On the generalized Kato spectrum
JO - Serdica Mathematical Journal
PY - 2011
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 37
IS - 4
SP - 283
EP - 294
AB - 2010 Mathematics Subject Classification: 47A10.We show that the symmetric difference between the generalized Kato spectrum and the essential spectrum defined in [7] by sec(T) = {l О C ; R(lI-T) is not closed } is at most countable and we also give some relationship between this spectrum and the SVEP theory.
LA - eng
KW - Semi-Regular Operators; Kato Type Operators; Generalized Kato Spectrum; Essential Spectrum; semi-regular operators; Kato type operators; generalized Kato spectrum; essential spectrum; single-valued extension property
UR - http://eudml.org/doc/281557
ER -