On Some Normality-Like Properties and Bishop's Property () for a Class of Operators on Hilbert Spaces | Zendy

Sid Ahmed Ould Ahmed Mahmoud | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

On Some Normality-Like Properties and Bishop's Property () for a Class of Operators on Hilbert Spaces

Author(s) -

Sid Ahmed Ould Ahmed Mahmoud

Publication year - 2012

Publication title -

international journal of mathematics and mathematical sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.21

H-Index - 39

eISSN - 1687-0425

pISSN - 0161-1712

DOI - 10.1155/2012/975745

Subject(s) - mathematics , invertible matrix , operator (biology) , invariant subspace , pure mathematics , finite rank operator , unitary operator , property (philosophy) , invariant (physics) , hilbert space , quasinormal operator , reflexive operator algebra , shift operator , multiplication operator , subspace topology , compact operator , linear subspace , mathematical analysis , mathematical physics , banach space , philosophy , repressor , chemistry , computer science , biochemistry , epistemology , transcription factor , programming language , extension (predicate logic) , gene

We prove some further properties of the operator ∈[QN](-power quasinormal, defined in Sid Ahmed, 2011). In particular we show that the operator∈[QN] satisfying the translation invariant property is normal and that theoperator ∈[QN] is not supercyclic provided that it is not invertible. Also, westudy some cases in which an operator ∈[2QN] is subscalar of order ; that is, it issimilar to the restriction of a scalar operator of order to an invariant subspace

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