IJPAM: Volume 106, No. 2 (2016)
OF -COMMUTING OPERATORS
Sidi Mohamed Ben Abdellah University
Faculty of Sciences Dhar El Marhaz
Chouaib Dokkali University
Faculty of Sciences
El Jadida, MOROCCO
Abstract. Let be the Banach algebra of all bounded operators on a complex Banach space , for a scalar two operators are said to -commute if . If it holds, we show that and have many basic local spectral properties in common.
Received: September 11, 2015
AMS Subject Classification:
Key Words and Phrases: spectrum, operator equation, -commutativity, local spectral properties
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DOI: 10.12732/ijpam.v106i2.7 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Pages: 429 - 442
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