This article is cited in 4 papers

Estimates for Elements of Inverse Matrices for a Class of Operators with Matrices of Special Structure

T. V. Azarnova

Voronezh State University

Abstract: In this paper, we consider questions related to the structure of inverse matrices of linear bounded operators acting in infinite-dimensional complex Banach spaces. We obtain specific estimates of elements of inverse matrices for bounded operators whose matrices have a special structure. Matrices are introduced as special operator-valued functions on an index set. The matrix structure is described by the behavior of the given function on elements of a special partition of the index set. The method used for deriving the estimates is based on an analysis of Fourier series of strongly continuous periodic functions.

UDC: 517.984.3

Received: 24.04.2000
Revised: 30.01.2001

DOI: 10.4213/mzm399

 English version: Mathematical Notes, 2002, 72:1, 3–9

Bibliographic databases:

• 
• 
• 
•