Spectral properties and tensor products of quasi-*-A(n) operators | Zendy

Junli Shen | Zendy; Alatancang Chen | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Spectral properties and tensor products of quasi-*-A(n) operators

Author(s) -

Junli Shen,

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/fil1408559s

Subject(s) - mathematics , operator (biology) , spectrum (functional analysis) , tensor product , tensor (intrinsic definition) , class (philosophy) , zero (linguistics) , pure mathematics , spectral properties , quasinormal operator , mathematical analysis , finite rank operator , banach space , quantum mechanics , computer science , computational chemistry , biochemistry , chemistry , physics , linguistics , philosophy , repressor , artificial intelligence , transcription factor , gene

In this paper, we prove that the spectrum, Weyl spectrum and Browder spectrum are continuous on the class of all quasi-*-A(n) operators. And we obtain a sufficient condition for a quasi-*-A(n) operator to be normal. Finally, we consider the tensor products of quasi-*-A(n) operators, giving a necessary and sufficient condition for T\otimes S to be a quasi-*-A(n) operator when T and S are both non-zero operators.

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research