Year: 2021
Type: article
Abstract: Let B(X) be the algebra of all bounded linear operators on a Banach space X with dimX ≥ 2. In this paper, we describe surjective maps φ : B(X) → B(X) preserving the coincidence points of operators, i.e., C(A,B) = C(φ(A), φ(B)), for every A,B ∈ B(X), where C(A,B) denotes the set of all coincidence points of two operators A and B.
Source: Eurasian Mathematical Journal
Author: Roja Hosseinzadeh
Institution: L. N. Gumilyov Eurasian National University
Language: English
Topic: Advanced Banach Space Theory
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4285511989