ScholarLens Back to search
2007•Journal of Northwest UniversityRequires access

Some inequalities on spectral radius and norm of operator

Bai Wei-zu

Open publisher page 0 citations

Abstract

Aim To study generalization of Corach-Porta-Recht inequality and some norm inequalities and spectral radius of bounded linear operators.Methods By using series of basical properties of spectral radius and elementary theories of operator matrix,some spectral radius inequalities and norm inequalities are discussed.Results Norm of operator offers the scope of spectral radius inequalities.Conclusion Norm of operator is very important to estimate the spectral radius of operator.

About this research paper

What this paper is about

Aim To study generalization of Corach-Porta-Recht inequality and some norm inequalities and spectral radius of bounded linear operators.Methods By using series of basical properties of spectral radius and elementary theories of operator matrix,some spectral radius inequalities and norm inequalities are discussed.Results Norm of operator offers the scope of spectral radius inequalities.Conclusion Norm of operator is very important to estimate the spectral radius of operator.

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

Aim To study generalization of Corach-Porta-Recht inequality and some norm inequalities and spectral radius of bounded linear operators.Methods By using series of basical properties of spectral radius and elementary theories of operator matrix,some spectral radius inequalities and norm inequalities are discussed.Results Norm of operator offers the scope of spectral radius inequalities.Conclusion Norm of operator is very important to estimate the spectral radius of operator.

Key concepts: Spectral radius, Mathematics, Operator norm, Norm (philosophy), Matrix norm, Operator (biology), Bounded operator, Spectral theory of ordinary differential equations

Related papers

Related paper 1Related paper 2Related paper 3
Back to paper searchBrowse research topicsOriginal source
Some inequalities on spectral radius and norm of operator — Research Paper | ScholarLens