Open AccessEP matrices of adjointable operators on Hilbert C*-modules
Author(s) -
Xiaopeng Li,
Junjie Huang,
Alatancang Chen
Publication year - 2021
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil2110287l
Subject(s) - mathematics , schur complement , modular design , operator matrix , algebra over a field , operator (biology) , block (permutation group theory) , pure mathematics , complement (music) , combinatorics , computer science , eigenvalues and eigenvectors , programming language , biochemistry , physics , chemistry , repressor , quantum mechanics , complementation , transcription factor , phenotype , gene
In this paper, we investigate EP modular operator matrices on Hilbert C*-modules setting. The necessary and sufficient conditions for some modular operator matrices to be EP are discussed, based on the generalized Schur complement. These enable us to generalize some results of Meenakshi (1958) [11] for block matrices.