The residual spectrum and the continuous spectrum of upper triangular operator matrices | Zendy

Guojun Hai | Zendy; Alatancang Chen | Zendy

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The residual spectrum and the continuous spectrum of upper triangular operator matrices

Author(s) -

Guojun Hai,

Alatancang Chen

Publication year - 2014

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/fil1401065h

Subject(s) - mathematics , operator matrix , spectrum (functional analysis) , triangular matrix , residual , operator (biology) , separable space , continuous spectrum , combinatorics , matrix (chemical analysis) , hilbert space , pure mathematics , mathematical analysis , chemistry , physics , quantum mechanics , algorithm , biochemistry , repressor , chromatography , transcription factor , invertible matrix , gene

Let H and K be separable infinite dimensional Hilbert spaces. We denote by MC the 22 upper triangular operator matrix acting on H K of the form. For given operators A B(H) and B B(K), the sets are characterized, where r() and c() denote the residual spectrum and the continuous spectrum, respectively.

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