On the B-discrete spectrum | Zendy

Mohammed Berkani | Zendy

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On the B-discrete spectrum

Author(s) -

Mohammed Berkani

Publication year - 2020

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/fil2008541b

Subject(s) - mathematics , spectrum (functional analysis) , discrete spectrum , meromorphic function , resolvent , invertible matrix , operator (biology) , pure mathematics , continuous spectrum , essential spectrum , discrete mathematics , eigenvalues and eigenvectors , biochemistry , physics , chemistry , repressor , quantum mechanics , transcription factor , gene

In this paper, we introduce the B-discrete spectrum of an unbounded closed operator and we prove that a closed operator has a purely B-discrete spectrum if and only if it has a meromorphic resolvent. After that, we study the stability of the B-discrete spectrum under several type of perturbations and we establish that two closed invertible linear operators having quasisimilar totally paranormal inverses have equal spectra and B-discrete spectra.

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