scientific article

zbMath0577.52007MaRDI QIDQ3697821

Victor Klee

Publication date: 1986

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

infinite-dimensional Banach spaceproximinal setsbiorthogonal sequences\(\ell ^ p\)-spacesfinitely boundedlocally finite covering by bounded closed convex setsparallelotope-like prototilepoint-finite tiling by bounded starshaped tiles

Mathematics Subject Classification ID

Lattices and convex bodies in (n) dimensions (aspects of discrete geometry) (52C07) Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) Sequence spaces (including Köthe sequence spaces) (46A45) Best approximation, Chebyshev systems (41A50) Geometry and structure of normed linear spaces (46B20) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Packing and covering in (n) dimensions (aspects of discrete geometry) (52C17) Convex sets in topological linear spaces; Choquet theory (46A55) Convex sets in topological vector spaces (aspects of convex geometry) (52A07)

Related Items (14)

Locally countable plump tilings are flat ⋮ Connectedness and other geometric properties of suns and Chebyshev sets ⋮ Singular points of a convex tiling ⋮ NORMAL TILINGS OF A BANACH SPACE AND ITS BALL ⋮ Singular points for tilings of normed spaces ⋮ On a question by Corson about point-finite coverings ⋮ Almost flat locally finite coverings of the sphere ⋮ Normal and starlike tilings in separable Banach spaces ⋮ Uniform properties of collections of convex bodies ⋮ On two questions concerning tilings ⋮ Some results on infinite-dimensional convexity ⋮ The geometry of Minkowski spaces -- a survey. II. ⋮ Three characterizations of polyhedral Banach spaces ⋮ The retraction constant in some Banach spaces

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