On subnormality of generalized derivations and tensor products

DOI10.1017/S0004972700004718zbMath0557.47024MaRDI QIDQ3222743

Bojan Magajna

Publication date: 1985

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

subnormal operatorgeneralized derivationsquasinormal operatorsclass of all Hilbert-Schmidt operators

Mathematics Subject Classification ID

Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Subnormal operators, hyponormal operators, etc. (47B20) Commutators, derivations, elementary operators, etc. (47B47) Tensor products in functional analysis (46M05)

Related Items (11)

On the tensor products of operators ⋮ Putnam's inequality and elementary operators ⋮ Symmetric properties of elementary operators ⋮ Narrow operators on tensor products of Köthe spaces ⋮ Norm Equalities for Derivations ⋮ Projections as averages of isometries on minimal norm ideals ⋮ An estimate for the norm of a derivation on a norm ideal ⋮ Elementary operators and the Aluthge transform ⋮ Isometric properties of elementary operators ⋮ Circular operators on minimal norm ideals ofℬ(ℋ) ⋮ Complete hyperexpansivity, subnormality and inverted boundedness conditions.

Cites Work

• Unnamed Item
• Properties which normal operators share with normal derivations and related operators
• Subnormal operators
• Spectra of Tensor Products of Operators

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