Maps Preserving Norms of Generalized Weighted Quasi-arithmetic Means of Invertible Positive Operators
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Publication:5230558
DOI10.13001/1081-3810.3897OpenAlexW2970367635MaRDI QIDQ5230558
Publication date: 28 August 2019
Published in: The Electronic Journal of Linear Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.13001/1081-3810.3897
Kubo-Ando meansnonlinear preserversinvertible positive operatorsgeneralized weighted quasi-arithmetic means
Transformers, preservers (linear operators on spaces of linear operators) (47B49) Operator means involving linear operators, shorted linear operators, etc. (47A64)
Related Items
A dichotomy result for strictly increasing bisymmetric maps ⋮ On the order determining property of the norm of a Kubo-Ando mean in operator algebras ⋮ Characterization of quasiarithmetic means without regularity condition ⋮ Maps stemming from the functional calculus that transform a Kubo-Ando mean into another
Cites Work
- Invariance equation for generalized quasi-arithmetic means
- Generalized weighted quasi-arithmetic means
- Order automorphisms on positive definite operators and a few applications
- Transformations preserving norms of means of positive operators and nonnegative functions
- Means of positive linear operators
- Preserver problems related to quasi-arithmetic means of invertible positive operators
- A characterization of unitary-antiunitary similarity transformations via Kubo-Ando means
- Characterizations of centrality in \(C^*\)-algebras via local monotonicity and local additivity of functions
- Order-automorphisms of the set of bounded observables
- Maps on Hilbert space effect algebras preserving norms of operator means Marcell Gaáland Gergo Nagy
- Concavity of monotone matrix functions of finite order
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