Additive maps on standard operator algebras preserving parts of the spectrum.
From MaRDI portal
Publication:1399391
DOI10.1016/S0022-247X(03)00146-XzbMath1042.47027MaRDI QIDQ1399391
Publication date: 30 July 2003
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05) Transformers, preservers (linear operators on spaces of linear operators) (47B49)
Related Items
Maps preserving the spectrum of generalized Jordan product of operators, Additive mappings on symmetric matrices, Additive maps preserving m-normal eigenvalues on ℬ(ℋ), Unital and multiplicatively spectrum-preserving surjections between semi-simple commutative Banach algebras are linear and multiplicative, Linear maps between operator algebras preserving certain spectral functions, Minimum and surjectivity moduli preserving in Banach space, Maps preserving some spectral domains of operator products, Maps preserving the \(\partial\)-spectrum of product or triple product of operators, Some spectral domain in approximate point-spectrum-preserving maps on \(\mathcal{B}(\mathcal{X})\), Surjective linear maps preserving certain spectral radii, Maps completely preserving spectral functions, Linear maps preserving invertibility or related spectral properties, Unnamed Item, Maps preserving peripheral spectrum of generalized Jordan products of self-adjoint operators, Additive mappings that do not increase minimal rank of alternate matrices, Additive maps between standard operator algebras compressing certain spectral functions, Approximately spectrum-preserving maps, Maps preserving peripheral spectrum of Jordan semi-triple products of operators, Additive spectrum compressors, Characterizing isomorphisms in terms of completely preserving invertibility or spectrum, Maps preserving square-zero matrices on the algebra consisting of all upper triangular matrices, Maps preserving peripheral spectrum of generalized products of operators, Spectral preservers and approximate spectral preservers on operator algebras, A generalization of peripherally-multiplicative surjections between standard operator algebras
Cites Work
- Spectrum-preserving linear maps
- Spectrum-preserving additive maps
- Spectrum-preserving elementary operators on \(B(X)\)
- Positive elementary operators compressing spectrum
- Linear maps between Banach algebras compressing certain spectral functions
- Spectrum-Preserving Linear Mappings between Banach Algebras or Jordan-Banach Algebras
- On the existence of a fundamental total and bounded biorthogonal sequence in every separable Banach space, and related constructions of uniformly bounded orthonormal systems in L²
- Two characterizations of automorphisms on B(X)
- Spectrum preserving linear mappings in Banach algebras
- Point-spectrum-preserving elementary operators on 𝐵(𝐻)
- On nonseparable reflexive Banach spaces
- Rank-preserving linear maps on B(X)
- Unnamed Item
- Unnamed Item