Smooth points of certain operator spaces

DOI10.1007/BF01198920zbMath0738.47042MaRDI QIDQ1173581

Fuad Kittaneh, Rahman M. Younis

Publication date: 25 June 1992

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

zbMATH Keywords

separable infinite dimensional Hilbert spaceideal of compact operatorsBanach space of all bounded linear operatorssmooth points of the unit ball of B(H)unit ball of the Calkin algebra

Mathematics Subject Classification ID

Convex sets and cones of operators (47L07) Linear spaces of operators (47L05)

Related Items (14)

On zero-trace matrices ⋮ Very smooth points of spaces of operators ⋮ Smooth points of some operator spaces ⋮ Multismoothness in Banach spaces ⋮ A complete characterization of smoothness in the space of bounded linear operators ⋮ Gateaux derivative of \(C^\ast\) norm ⋮ Differentiability of the Norm in Von Neumann Algebras ⋮ Birkhoff-James orthogonality and applications: a survey ⋮ Numerical radius and a notion of smoothness in the space of bounded linear operators ⋮ Smooth points in some spaces of bounded operators ⋮ \(k\)-smooth points in some Banach spaces ⋮ Characterization of \(k\)-smooth operators between Banach spaces ⋮ Birkhoff-James orthogonality and smoothness of bounded linear operators ⋮ Geometry of positive compact operators on \(\ell^ p\)

Cites Work

• Norm derivatives on spaces of operators
• On the metric geometry of ideals of operators on Hilbert space
• Exposed points of the unit ball of \({\mathcal L}(H)\)
• Isometries of operator algebras
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