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Polynomially partial isometric operators
2023
Journal:  
Hacettepe Journal of Mathematics and Statistics
Author:  
DOI:  
10.15672/hujms.1074783
Abstract:

In order to extend the notion of semi-generalized partial isometries and partial isometries, we introduce a new class of operators called polynomially partial isometries. Since this new class of operators contains semi-generalized partial isometries, partial isometries, isometries and co-isometries, we proposed a wider class of operators. Several basic properties of polynomially partial isometries and some invariant subspaces of corresponding operators are presented. We study decomposition theorems and spectral theorems for polynomially partial isometries, generalizing some well-known results for partial isometries and semi-generalized partial isometries to polynomially partial isometries. Applying polynomially partial isometries, we solve some equations.

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2023
Journal:  
Hacettepe Journal of Mathematics and Statistics
Author:  
DOI:  
10.15672/hujms.1074783
Keywords:

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Hacettepe Journal of Mathematics and Statistics

Field :   Fen Bilimleri ve Matematik

Journal Type :   Uluslararası

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Article : 1.771
Cite : 683
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Hacettepe Journal of Mathematics and Statistics