On the analytic α-Lipschitz vector-valued operators

• Autorzy: Shokri Abbasali

Identyfikatory

DOI

10.7862/rf.2022.8

• Języki publikacji: EN

Abstrakty

EN

Let (X, d) be a non-empty compact metric space in C, (B, ∥ . ∥) be a commutative unital Banach algebra over the scalar field F(= R or C) and α ∈ R with 0 < α ≤ 1. In this work, first we define the analytic α-Lipschitz B-valued operators on X and denote the Banach algebra of all these operators by Lipα A(X, B). When B = F, we write Lipα A(X) instead of Lipα A(X, B). Then we study some interesting results about Lipα A(X, B), including the relationship between Lipα A(X, B) with Lipα A(X) and B, and also characterize the characters on Lipα A(X, B).

Słowa kluczowe

EN

analytic operator; Banach algebra; vector-valued operator; Lipschitz operator

PL

operator analityczny; algebra Banacha; operatory wektorowe; operator Lipschitza

• Wydawca: Oficyna Wydawnicza Politechniki Rzeszowskiej
• Czasopismo: Journal of Mathematics and Applications
• Rocznik: 2022
• Tom: Vol. 45
• Strony: 181--190
• Opis fizyczny: Bibliogr. 18 poz.

Twórcy

autor

Shokri Abbasali

• Department of Mathematics, Ahar Branch, Islamic Azad University, 190 A. Shokri, Ahar, Iran

• https://orcid.org/0000-0002-1759-1439

Bibliografia

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