On Berezin norm and Berezin number inequalities for sum of operators

• Autorzy: Altwaijry Najla , Feki Kais , Minculete Nicusor

Identyfikatory

DOI

10.1515/dema-2023-0159

• Języki publikacji: EN

Abstrakty

EN

The aim of this study is to obtain several inequalities involving the Berezin number and the Berezin norm for various combinations of operators acting on a reproducing kernel Hilbert space. First, we present some bounds regarding the Berezin number associated with W∗Q+W∗Q' , where W , Q , and Q' are three bounded linear operators. Next, several Berezin norm and Berezin number inequalities for the sum of n operators are established.

Słowa kluczowe

EN

Berezin number; Berezin norm; sum; inequality

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2024
• Tom: Vol. 57, nr 1
• Strony: art. no. 20230159
• Opis fizyczny: Bibliogr. 42 poz.

Twórcy

autor

Altwaijry Najla

• Department of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia

autor

Feki Kais

• Laboratory Physics-Mathematics and Applications (LR/13/ES-22), Faculty of Sciences of Sfax, University of Sfax, Sfax 3018, Tunisia

autor

Minculete Nicusor

• Department of Mathematics and Computer Science, Transilvania University of Braşov, Braşov, 500091, Romania

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Uwagi

Opracowanie rekordu ze środków MNiSW, umowa nr POPUL/SP/0154/2024/02 w ramach programu "Społeczna odpowiedzialność nauki II" - moduł: Popularyzacja nauki (2025).