2010•Xitong kexue yu shuxueRequires access

PERTURBATION OF FOUR KINDS OF POINT SPECTRUMS OF A CLASS OF UPPER TRIANGULAR OPERATOR MATRICES

Lan Zhang

Abstract

The point spectrum is divided into four kindsσ_(p1),σ_(p2),σ_(p3)andσ_(p4).Inthis paper,let H and K be two separable Hilbert spaces.Donote by M_C the 2×2 uppertriangular operator matrix acting on HK of the form(OBAC).For given operators A∈B(H)and B∈B(K),the sets■C∈B(K,H)σ_(p1)(M_C),■C∈B(K,H)σ_(p2)(M_C),■C∈B(K,H)σ_(p3)(M_C)and■C∈B(K,H)σ_(p4)(M_C) are characterized.

About this research paper

What this paper is about

Why it matters

A significance statement is not available in the OpenAlex record.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

Key concepts: Operator matrix, Mathematics, Operator (biology), Spectrum (functional analysis), Combinatorics, Triangular matrix, Separable space, Class (philosophy)