A remark on the norm of the parallel sum

DOI10.1007/s00013-024-02048-zMaRDI QIDQ6641672

Ali Reza Zamani

Publication date: 21 November 2024

Published in: Archiv der Mathematik (Search for Journal in Brave)

zbMATH Keywords

\(C^*\)-algebrainequalitypositive definite operatorparallel sum

Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) General theory of (C^*)-algebras (46L05) Positive linear operators and order-bounded operators (47B65) Operator means involving linear operators, shorted linear operators, etc. (47A64)

Cites Work

• Unnamed Item
• A note on the parallel sum
• Series and parallel addition of matrices
• Generalized parallel sum of adjointable operators on Hilbert C*-modules
• Proper improvements of well-known perturbation estimations for the parallel sum
• Norm inequalities for parallel sums of operators
• The generalized polar decomposition, the weak complementarity and the parallel sum for adjointable operators on Hilbert $C^*$-modules

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