Exposed and denting points in duals of operator spaces

DOI10.1007/BF02772857zbMath0622.47044MaRDI QIDQ1090913

Wolfgang M. Ruess, Charles P. Stegall

Publication date: 1986

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

strongly exposed pointsdenting pointsbilinear versions of classical results of Shmulyan'sextreme points of the dual unit ball of a space of compact operators between real Banach spacesFréchet or Gâteaux differentiability of the operator norm

Mathematics Subject Classification ID

Convex sets and cones of operators (47L07) Tensor products in functional analysis (46M05) Dual spaces of operator algebras (47L50)

Related Items

Remarks on Spaces of Compact Operators between Reflexive Banach Spaces ⋮ On norm-attainment in (symmetric) tensor products ⋮ Smoothness in spaces of compact operators ⋮ Very smooth points of spaces of operators ⋮ On strong asymptotic uniform smoothness and convexity ⋮ Extremal structure of projective tensor products ⋮ Non-rough norms and dentability in spaces of operators ⋮ On the extremal structure of the unit balls of Banach spaces of weakly continuous functions and their duals ⋮ Extreme and exposed points of spaces of integral polynomials ⋮ Geometric theory of spaces of integral polynomials and symmetric tensor products ⋮ Isometries between spaces of homogeneous polynomials ⋮ Centralisers of spaces of symmetric tensor products and applications ⋮ Geometry of spaces of polynomials ⋮ Fréchet-differentiability of the norm in operator spaces ⋮ Residuality in the set of norm attaining operators between Banach spaces ⋮ The metric approximation property, norm-one projections and intersection properties of balls

Cites Work

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