Isometries of norm ideals of compact operators

DOI10.1016/0022-1236(81)90038-0zbMath0474.47009OpenAlexW2061400660MaRDI QIDQ1159360

Ahmed Ramzi Sourour

Publication date: 1981

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(81)90038-0

zbMATH Keywords

isometryHermitian operatorsoperator ideals on Hilbert space

Mathematics Subject Classification ID

Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Groups and semigroups of linear operators (47D03) Abstract operator algebras on Hilbert spaces (47L30) Representation theory of linear operators (47A67)

Related Items (37)

Unitarily invariant norms on operators ⋮ Reflexivity of the group of surjective isometries on some Banach spaces ⋮ Some aspects of the theory of norms ⋮ Orthonormal pairs of operators ⋮ Isometries of non-commutative Lorentz spaces ⋮ \(G\)-invariant norms and bicircular projections ⋮ Hermitian operators and isometries on sums of Banach spaces ⋮ Bicircular projections on some Banach spaces ⋮ Linear operators preserving certain functions on singular values of matrices ⋮ Isometries of symmetric operator spaces associated with AFD factors of type II and symmetric vector-valued spaces ⋮ A simple proof of Arazy's theorem ⋮ On prespectrality of generalised derivations ⋮ Isometries of the Toeplitz matrix algebra ⋮ Generalized tricircular projections on minimal norm ideals in \(B(\mathcal{H})\) ⋮ Circular two-sided multiplications ⋮ Chapter 5: linear preservers on functions of Singular values ⋮ Some isometries of rectangular complex matrices ⋮ Kakutani's automorphism theorem for vector-valued bounded holomorphic functions ⋮ Graph rigidity for unitarily invariant matrix norms ⋮ A class of unitarily invariant norms on 𝐵(𝐻) ⋮ Isometries and Hermitian operators on complex symmetric sequence spaces ⋮ Generalized bicircular projections via the operator equation \(\alpha X^2AY^2+\beta XAY+A=0\) ⋮ Isometries on noncommutative symmetric spaces ⋮ Positive linear isometries in symmetric operator spaces ⋮ Linear operators preserving unitarily invariant norms of matrices ⋮ Generalized bi-circular projections on \({\mathcal C}(\Omega, X)\) ⋮ Algebraic and invariance properties of the group of isometries ⋮ Projections as averages of isometries on minimal norm ideals ⋮ Isometries for unitarily invariant norms ⋮ Generalized bi-circular projections on minimal ideals of operators ⋮ Logarithmic submajorisation and order-preserving linear isometries ⋮ Единственность симметричной структуры в идеалах компактных операторов ⋮ 2-локальные изометрии некоммутативных пространств Лоренца ⋮ Изометрии действительных подпространств самосопряженных операторов в банаховых симметричных идеалах ⋮ Characterizing operations preserving separability measures via linear preserver problems ⋮ Isometries of complex symmetric sequence spaces ⋮ Circular operators on minimal norm ideals ofℬ(ℋ)

Cites Work

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• Eine metrische Kennzeichnung der selbstadjungierten Operatoren
• Groups of isometries on certain ideals of Hilbert space operators
• The isometries of \(C_p\)
• The isometries of \(L^p(\Omega,)\)
• On the isometries of reflexive Orlicz spaces
• Isometries of operator algebras
• On the Operator Identity ∑ A_kXB_k ≡ 0
• Matrices hermitian for an absolute norm
• Jordan Homomorphisms and Derivations on Semisimple Banach Algebras
• Interpolation zwischen den Klassen 𝔖_p von Operatoren in Hilberträumen
• Shorter Notes: Isometries of the Trace Class

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