Conditions that the product of operators is an EP operator in Hilbert C*-module

DOI10.1080/03081087.2019.1567673OpenAlexW2909625583WikidataQ114641301 ScholiaQ114641301MaRDI QIDQ5132621

Mehdi Mohammadzadeh Karizaki, Maryam Jalaeian, Mahmoud Hassani

Publication date: 12 November 2020

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03081087.2019.1567673

zbMATH Keywords

Moore-Penrose inverseHilbert \(C^*\)-moduleEP operatorbi-EP operator

Mathematics Subject Classification ID

(C^*)-modules (46L08) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05)

Related Items (8)

Some results about EP modular operators ⋮ Unnamed Item ⋮ Idempotent operator and its applications in Schur complements on Hilbert \(C^*\)-module ⋮ New identities for Moore-Penrose inverses of some operator products and their reverse-order laws ⋮ Two Equal Range Operators on Hilbert $C^*$-modules ⋮ Unnamed Item ⋮ Unnamed Item ⋮ The product of operators and their the Moore-Penrose inverses on Hilbert C^*-modules

Cites Work

• On products of EP matrices
• Commuting \(C^*\) modular operators
• Factorizations of EP operators
• Block generalized inverses
• The reverse order law for Moore-Penrose inverses of operators on Hilbert \(C^*\)-modules
• On the Moore-Penrose inverse, EP Banach space operators, and EP Banach algebra elements
• Positive semi-definite matrices of adjointable operators on Hilbert \(C^{*}\)-modules
• Wiegmann type theorems for EPr matrices
• Products of EP operators on Hilbert spaces
• Matrices for whichA^∗andA^†commute
• Further Results on the Reverse Order Law for Generalized Inverses
• On generalized inverses in C*-algebras
• Generalized inverses in C*-algebras II
• Elements of C*-algebras commuting with their Moore-Penrose inverse
• Operator matrix of Moore–Penrose inverse operators on Hilbert C^*-modules
• Moore-Penrose inverse of product operators in Hilbert C*- modules
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