On a Class of Self-Adjoint Compact Operators in Hilbert Spaces and Their Relations with Their Finite-Range Truncations

On a Class of Self-Adjoint Compact Operators in Hilbert Spaces and Their Relations with Their Finite-Range Truncations

This paper investigates a class of self-adjoint compact operators in Hilbert spaces related to their truncated versions with finite-dimensional ranges. The comparisons are established in terms of worst-case norm errors of the composite operators generated from iterated computations. Some boundedness...

Full description

Bibliographic Details
Main Author: M. De la Sen
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2013/890657
id doaj-523b5bfdbbf7499b8291500d6d94a05c
record_format Article
spelling doaj-523b5bfdbbf7499b8291500d6d94a05c2020-11-25T00:00:23ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/890657890657On a Class of Self-Adjoint Compact Operators in Hilbert Spaces and Their Relations with Their Finite-Range TruncationsM. De la Sen0Instituto de Investigacion y Desarrollo de Procesos, Universidad del Pais Vasco, Campus de Leioa, P.O. Box 644, 48080 Bilbao, SpainThis paper investigates a class of self-adjoint compact operators in Hilbert spaces related to their truncated versions with finite-dimensional ranges. The comparisons are established in terms of worst-case norm errors of the composite operators generated from iterated computations. Some boundedness properties of the worst-case norms of the errors in their respective fixed points in which they exist are also given. The iterated sequences are expanded in separable Hilbert spaces through the use of numerable orthonormal bases.http://dx.doi.org/10.1155/2013/890657
collection DOAJ
language English
format Article
sources DOAJ
author M. De la Sen
spellingShingle M. De la Sen
On a Class of Self-Adjoint Compact Operators in Hilbert Spaces and Their Relations with Their Finite-Range Truncations
Abstract and Applied Analysis
author_facet M. De la Sen
author_sort M. De la Sen
title On a Class of Self-Adjoint Compact Operators in Hilbert Spaces and Their Relations with Their Finite-Range Truncations
title_short On a Class of Self-Adjoint Compact Operators in Hilbert Spaces and Their Relations with Their Finite-Range Truncations
title_full On a Class of Self-Adjoint Compact Operators in Hilbert Spaces and Their Relations with Their Finite-Range Truncations
title_fullStr On a Class of Self-Adjoint Compact Operators in Hilbert Spaces and Their Relations with Their Finite-Range Truncations
title_full_unstemmed On a Class of Self-Adjoint Compact Operators in Hilbert Spaces and Their Relations with Their Finite-Range Truncations
title_sort on a class of self-adjoint compact operators in hilbert spaces and their relations with their finite-range truncations
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2013-01-01
description This paper investigates a class of self-adjoint compact operators in Hilbert spaces related to their truncated versions with finite-dimensional ranges. The comparisons are established in terms of worst-case norm errors of the composite operators generated from iterated computations. Some boundedness properties of the worst-case norms of the errors in their respective fixed points in which they exist are also given. The iterated sequences are expanded in separable Hilbert spaces through the use of numerable orthonormal bases.
url http://dx.doi.org/10.1155/2013/890657
work_keys_str_mv AT mdelasen onaclassofselfadjointcompactoperatorsinhilbertspacesandtheirrelationswiththeirfiniterangetruncations
_version_ 1725445354822828032

Similar Items