A fixed point method to solve linear operator equations involving self-adjoint operators in hilbert space

Mohammad Saeed Khan; Dinu Teodorescu

doi:10.2298/FIL1711249K

A fixed point method to solve linear operator equations involving self-adjoint operators in hilbert space

Mohammad Saeed Khan, Dinu Teodorescu

Mathematics & Statistics

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper we provide existence and uniqueness results for linear operator equations of the form (I + A^m) x = f, where A is a self-adjoint operator in Hilbert space. Some applications to the study of invertible matrices are also presented.

Original language	English
Pages (from-to)	3249-3251
Number of pages	3
Journal	Filomat
Volume	31
Issue number	11
DOIs	https://doi.org/10.2298/FIL1711249K
Publication status	Published - 2017

Keywords

Complex matrix
Linear operator equation
Self-adjoint operator

ASJC Scopus subject areas

Mathematics(all)

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10.2298/FIL1711249K

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title = "A fixed point method to solve linear operator equations involving self-adjoint operators in hilbert space",

abstract = "In this paper we provide existence and uniqueness results for linear operator equations of the form (I + Am) x = f, where A is a self-adjoint operator in Hilbert space. Some applications to the study of invertible matrices are also presented.",

keywords = "Complex matrix, Linear operator equation, Self-adjoint operator",

author = "Khan, {Mohammad Saeed} and Dinu Teodorescu",

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language = "English",

volume = "31",

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AU - Khan, Mohammad Saeed

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KW - Complex matrix

KW - Linear operator equation

KW - Self-adjoint operator

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DO - 10.2298/FIL1711249K

M3 - Article

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JO - Filomat

JF - Filomat

IS - 11

ER -

A fixed point method to solve linear operator equations involving self-adjoint operators in hilbert space

Abstract

Keywords

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