1993•Longman Scientific & Technical eBooksRequires access

Introduction to operator theory

崇吉野

Abstract

BOUNDED LINEAR OPERATORS ON A HILBERT SPACE. Linear and bilinear functionals. Inner product and norm. Hilbert spaces. Subspaces. Basis and dimension. Boundedness. Operators. STRUCTURE OF OPERATORS. Spectrum of operators. Spectral theorem for normal operators. Polar decomposition. The unitary part of contractions. The structure of isometries. The structure of quasinormal operators. The structure of subnormal operators with a cyclic vector. Invariant subspaces of subnormal operators. Hyponormal operators. Co-isometric extensions of contractions. BIBLIOGRAPHY.

About this research paper

What this paper is about

Why it matters

OpenAlex reports 62 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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: Spectral theorem, Operator theory, Mathematics, Linear subspace, Operator norm, Hilbert space, Compact operator on Hilbert space, Pure mathematics