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Dergiler / Hacettepe Journal of Mathematics and Statistics / 2026 / Volume: 52 Issue: 1

Polynomially partial isometric operators

Dijana Mosic(University of Niš, Faculty of Sciences and Mathematics)0000-0002-3255-9322
Sayfa
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Yayın Tarihi
2023-02-15
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Applying polynomially partial isometries, we solve some equations.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez: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.
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Temel Bulgular & Veri:Since this new class of operators contains semi-generalized partial isometries, partial isometries, isometries and co-isometries, we proposed a wider class of operators.
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Sonuç & Katkı:Applying polynomially partial isometries, we solve some equations.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:partial isometry · isometry · decomposition theorem

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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Bu Makaleye Atıf Yap

Mosic, D. (2023). Polynomially partial isometric operators. Hacettepe Journal of Mathematics and Statistics, Volume: 52 Issue: 1. https://doi.org/10.15672/hujms.1074783

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Kaynakça (21)

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