Some results on generalized finite operators and range kernel orthogonality in Hilbert spaces

Nadia Mesbah; Hadia Messaoudene; Asma Alharbi

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Some results on generalized finite operators and range kernel orthogonality in Hilbert spaces

机译：Some results on generalized finite operators and range kernel orthogonality in Hilbert spaces

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摘要

Let ℋ be a complex Hilbert space and ℬ ( ℋ ) denotes the algebra of all bounded linear operators acting on ℋ . In this paper, we present some new pairs of generalized finite operators. More precisely, new pairs of operators ( A , B ) ∈ ℬ ( ℋ ) × ℬ ( ℋ ) satisfying: ∥ A X − X B − I ∥ ≥ 1 , for all X ∈ ℬ ( ℋ ) .

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来源
《Demonstratio Mathematica》 |2021年第1期|318-325|共8页
作者
Nadia Mesbah; Hadia Messaoudene; Asma Alharbi;
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作者单位

Department of Mathematics and Computer Science, Laboratory of Mathematics, Informatics and Systems ,(LAMIS), Larbi Tebessi University;

Faculty of Economics Sciences and Management, Laboratory of Mathematics, Informatics and Systems ,(LAMIS), Larbi Tebessi University;

Department of Mathematics, College of Sciences and Arts, Ar Rass, Qassim University;

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正文语种英语
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finite operator; numerical range; orthogonality; class ℛ¯1;

Some results on generalized finite operators and range kernel orthogonality in Hilbert spaces

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