On the characterization of scalar type spectral operators

P. A. Cojuhari; A. M. Gomilko

Studia Mathematica (2008)

  • Volume: 184, Issue: 2, page 121-132
  • ISSN: 0039-3223

Abstract

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The paper is concerned with conditions guaranteeing that a bounded operator in a reflexive Banach space is a scalar type spectral operator. The cases where the spectrum of the operator lies on the real axis and on the unit circle are studied separately.

How to cite

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P. A. Cojuhari, and A. M. Gomilko. "On the characterization of scalar type spectral operators." Studia Mathematica 184.2 (2008): 121-132. <http://eudml.org/doc/285204>.

@article{P2008,
abstract = {The paper is concerned with conditions guaranteeing that a bounded operator in a reflexive Banach space is a scalar type spectral operator. The cases where the spectrum of the operator lies on the real axis and on the unit circle are studied separately.},
author = {P. A. Cojuhari, A. M. Gomilko},
journal = {Studia Mathematica},
keywords = {spectral theory; spectral operators; power-bounded operators; spectrum; resolvent},
language = {eng},
number = {2},
pages = {121-132},
title = {On the characterization of scalar type spectral operators},
url = {http://eudml.org/doc/285204},
volume = {184},
year = {2008},
}

TY - JOUR
AU - P. A. Cojuhari
AU - A. M. Gomilko
TI - On the characterization of scalar type spectral operators
JO - Studia Mathematica
PY - 2008
VL - 184
IS - 2
SP - 121
EP - 132
AB - The paper is concerned with conditions guaranteeing that a bounded operator in a reflexive Banach space is a scalar type spectral operator. The cases where the spectrum of the operator lies on the real axis and on the unit circle are studied separately.
LA - eng
KW - spectral theory; spectral operators; power-bounded operators; spectrum; resolvent
UR - http://eudml.org/doc/285204
ER -

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