Non-Self-Adjoint Block Convolution Operators of Scalar Type

Abstract The paper deals with the spectral theory of a class of non-self-adjoint convolution operators, which are of scalar type in the sense of Dunford. We consider the spectral decompositions of such operators, focusing on the general case of operators defined on Banach spaces.

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Publication Details

Journal
Complex Analysis and Operator Theory
Published
2025-06-18
DOI
https://doi.org/10.1007/s11785-025-01734-2
Citations
1
Primary Topic
Holomorphic and Operator Theory
Type
article
Field-Weighted Citation Impact
3.73

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article

Non-Self-Adjoint Block Convolution Operators of Scalar Type

Ewelina Zalot
1 citations
Complex Analysis and Operator Theory
Holomorphic and Operator Theory
3.73
article

Non-Self-Adjoint Block Convolution Operators of Scalar Type

Ewelina Zalot
article en
1 citations

Abstract

Abstract The paper deals with the spectral theory of a class of non-self-adjoint convolution operators, which are of scalar type in the sense of Dunford. We consider the spectral decompositions of such operators, focusing on the general case of operators defined on Banach spaces.

Complex Analysis and Operator TheoryVol. 19(5)
AGH University of Krakow (PL)
Vysoké Učení Technické v Brně
Openalex Percentile: Top 9%
Holomorphic and Operator Theory
3.73
DOIOpen Access PDFOpenAlex
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Non-Self-Adjoint Block Convolution Operators of Scalar Type — Ewelina Zalot · Complex Analysis and Operator Theory (2025) | TGRS Research Map | TGRS