TOPOLOGIES ON THE SET OF ALL SUBSPACES OF A BANACH SPACE AND RELATED QUESTIONS OF BANACH SPACE GEOMETRY

DOI10.1080/16073606.1994.9631766zbMath0807.46014arXivmath/9303202OpenAlexW2089793319MaRDI QIDQ4312325

Mikhail I. Ostrovskii

Publication date: 9 November 1994

Published in: Quaestiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9303202

zbMATH Keywords

comparisonstabilitytopologies on the set of all subspaces of a Banach space

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Isomorphic theory (including renorming) of Banach spaces (46B03) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05) Isometric theory of Banach spaces (46B04)

Related Items (18)

Barycentric selectors and a Steiner-type point of a convex body in a Banach space ⋮ Complexity of distances: Theory of generalized analytic equivalence relations ⋮ Complexity of distances: reductions of distances between metric and Banach spaces ⋮ The Ramsey properties for Grassmannians over \(\mathbb{R},\mathbb{C}\) ⋮ Finite dimensional characteristics related to superreflexivity of Banach spaces ⋮ A geometrical setting for geometric phases on complex Grassmann manifolds ⋮ Stability constants of the weak\(^*\) fixed point property for the space \(\ell_{1}\) ⋮ HOW THE DISTANCE BETWEEN SUBSPACES IN THE METRIC OF A SPHERICAL OPENING AFFECTS THE GEOMETRIC STRUCTURE OF A SYMMETRIC SPACE ⋮ The Rochberg garden ⋮ The isomorphic Kottman constant of a Banach space ⋮ Angle criteria for uniform convergence of averaged projections and cyclic or random products of projections ⋮ CLASSES OF BANACH SPACES STABLE AND UNSTABLE WITH RESPECT TO THE OPENING ⋮ Subprojective Banach spaces ⋮ Disjointly non-singular operators on order continuous Banach lattices complement the unbounded norm topology ⋮ Averaged projections, angles between groups and strengthening of Banach property (T) ⋮ Compositions of projections in Banach spaces and relations between approximation properties ⋮ Automorphisms of \(\mathcal C(K)\)-spaces and extension of linear operators ⋮ On the complexity of some classes of Banach spaces and non-universality

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