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2013 On a Class of Self-Adjoint Compact Operators in Hilbert Spaces and Their Relations with Their Finite-Range Truncations
M. De la Sen
Abstr. Appl. Anal. 2013(SI27): 1-14 (2013). DOI: 10.1155/2013/890657

Abstract

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.

Citation

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M. De la Sen. "On a Class of Self-Adjoint Compact Operators in Hilbert Spaces and Their Relations with Their Finite-Range Truncations." Abstr. Appl. Anal. 2013 (SI27) 1 - 14, 2013. https://doi.org/10.1155/2013/890657

Information

Published: 2013
First available in Project Euclid: 26 February 2014

zbMATH: 07095460
MathSciNet: MR3124025
Digital Object Identifier: 10.1155/2013/890657

Rights: Copyright © 2013 Hindawi

Vol.2013 • No. SI27 • 2013
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