Work

Operator Solutions of the Multi–valued Operator Equation $$A = BXC$$

Year: 2025

Type: article

Abstract: Assume that A, B and C are three linear relations on certain linear spaces. The main objective of this note is to present some necessary and sufficient conditions for the existence of the solutions X of the operator equation $$A = BXC$$ A = B X C . The obtained characterizations extend and complete some known operator factorization results due to R.G. Douglas, Z. Sebestyén and D. Popovici.

Source: Bulletin of the Malaysian Mathematical Sciences Society

DOI: 10.1007/s40840-025-01836-2

Author: Adrian Sandovici

Institution: Gheorghe Asachi Technical University of Iași

Language: English

Topic: Holomorphic and Operator Theory

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,190

OpenAlex ID: W4407774167