New extended Weyl type theorems and polaroid operators | Zendy

An Ju | Zendy; Min Han | Zendy

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New extended Weyl type theorems and polaroid operators

Author(s) -

An Ju,

Min Han

Publication year - 2013

Publication title -

filomat

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.449

H-Index - 34

eISSN - 2406-0933

pISSN - 0354-5180

DOI - 10.2298/fil1306061j

Subject(s) - mathematics , banach space , bounded function , type (biology) , operator (biology) , linear operators , pure mathematics , bounded operator , discrete mathematics , algebra over a field , calculus (dental) , mathematical analysis , medicine , ecology , biochemistry , chemistry , dentistry , repressor , gene , transcription factor , biology

In this paper we introduce the notion of s-polaroid and compare it with the related notions of right polaroid and ɑ-polaroid. We establish for a bounded linear operator defined on a Banach space several sufficient and necessary conditions for which properties (b), (ɑb), (ɡb), and (ɡɑb) hold.

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