Perturbations of Rhaly Operators

Popescu George

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2024-05-24 01:40

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POPESCU, George. Perturbations of Rhaly Operators. In: Conference on Applied and Industrial Mathematics: CAIM 2022, Ed. 30, 14-17 septembrie 2023, Chişinău. Iași, România: 2023, Ediţia 30, p. 49.

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Conference on Applied and Industrial Mathematics
Ediţia 30, 2023

Conferința "Conference on Applied and Industrial Mathematics"
30, Chişinău, Moldova, 14-17 septembrie 2023

Perturbations of Rhaly Operators

Pag. 49-49

Popescu George

University of Craiova

Disponibil în IBN: 21 martie 2024

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We study Rhaly operators on separable Hilbert spaces. Such operators are defined by terraced matrices, generated by a sequence of complex numbers. Some properties of the defining sequence, imply boundedness or compactness of Rhaly operators. We may call such properties - regularity properties. We prove that perturbations of the defining sequence, namely replacing just one subsequence, may preserve boundedness or compactness, only if the subsequence is rare.

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