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Extensions of the results on powers of $p$ -hyponormal and $log$ -hyponormal operators.

Yang, Changsen; Yuan, Jiangtao — 2006

Journal of Inequalities and Applications [electronic only]

Powers of class $w F (p, r, q)$ operators.

Yuan, Jiangtao; Yang, Changsen — 2006

JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]

Spectrum of class $w F (p, r, q)$ operators.

Yuan, Jiangtao; Gao, Zongsheng — 2007

Journal of Inequalities and Applications [electronic only]

Aluthge transforms of $(C_{p}; α)$ -hyponormal operators.

Cheng, Junxiang; Yuan, Jiangtao — 2011

Annals of Functional Analysis (AFA) [electronic only]

On (n,k)-quasiparanormal operators

Jiangtao Yuan; Guoxing Ji — 2012

Studia Mathematica

Let T be a bounded linear operator on a complex Hilbert space . For positive integers n and k, an operator T is called (n,k)-quasiparanormal if $| | T^{1 + n} (T^{k} x) {| |}^{1 / (1 + n)} | | T^{k} {x | |}^{n / (1 + n)} \geq | | T (T^{k} x) | |$ for x ∈ . The class of (n,k)-quasiparanormal operators contains the classes of n-paranormal and k-quasiparanormal operators. We consider some properties of (n,k)-quasiparanormal operators: (1) inclusion relations and examples; (2) a matrix representation and SVEP (single valued extension property); (3) ascent and Bishop’s property (β); (4) quasinilpotent...

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Currently displaying 1 – 5 of 5

Extensions of the results on powers of p -hyponormal and log -hyponormal operators.

Powers of class w F ( p , r , q ) operators.

Spectrum of class w F ( p , r , q ) operators.

Aluthge transforms of ( C p ; α ) -hyponormal operators.

On (n,k)-quasiparanormal operators

Extensions of the results on powers of $p$ -hyponormal and $log$ -hyponormal operators.

Powers of class $w F (p, r, q)$ operators.

Spectrum of class $w F (p, r, q)$ operators.

Aluthge transforms of $(C_{p}; α)$ -hyponormal operators.