Results 241 to 250 of about 62,319 (281)

Polyhedrality in Orlicz spaces

Israel Journal of Mathematics, 2008
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Hájek, P. (Petr Pavel), Johanis, M.
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On shortest paths in polyhedral spaces

Proceedings of the sixteenth annual ACM symposium on Theory of computing - STOC '84, 1984
We consider the problem of computing the shortest path between two points in two- or three-dimensional space bounded by polyhedral surfaces. In the two-dimensional case the problem is easily solved in time \(O(n^ 2\log n)\). In the general three-dimensional case the problem is quite hard to solve, and is not even discrete; we present a doubly ...
Sharir, Micha, Schorr, Amir
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Parametric Analysis of Polyhedral Iteration Spaces

Journal of VLSI signal processing systems for signal, image and video technology, 1998
In the area of automatic parallelization of programs, analyzing and transforming loop nests with parametric affine loop bounds requires fundamental mathematical results. The most common geometrical model of iteration spaces, called the polytope model, is based on mathematics dealing with convex and discrete geometry, linear programming, combinatorics ...
Clauss, Philippe, Loechner, Vincent
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Metric Projections and Polyhedral Spaces

Set-Valued Analysis, 2006
Let \(X\) be a Banach space and \(Y\) a proximinal subspace of \(X\). The metric projection \(P_Y\) onto \(Y\) is called Hausdorff lower semi-continuous at \(x_0\in X\) if for every \(\epsilon >0\) there exists \(\delta=\delta(\epsilon)>0\) such that \(B(z,\epsilon)\cap P_Y(x)\neq \emptyset\) for every \(z\in P_Y(x_0)\) and every \(x\in B(x_0,\delta) =
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Self-Conjugate Polyhedral Banach Spaces

Bulletin of the London Mathematical Society, 1986
Problem 91 (of Mazur) in the Scottish Book asked whether a real finite- dimensional Banach space isometric to its dual is necessarily isometrically an inner-product space. Answering this in the negative, Sztencel and Zaremba asked whether self-conjugate normed spaces with polyhedral unit balls exist for dimensions \(n\geq 3.\) An affirmative answer to ...
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Analytic and polyhedral approximation of convex bodies in separable polyhedral Banach spaces

Israel Journal of Mathematics, 1998
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Deville, Robert, Fonf, Vladimir, Hájek, Petr   +2 more
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Polyhedral spaces

2022
Antonio José Guirao, Vicente Montesinos, Václav Zizler   +2 more
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Isomorphically Polyhedral Banach Spaces

2016
We prove two theorems giving su??cient conditions for a Banach space to be isomorphically polyhedral.
Fonf, V.P., Pallar??s, A.J., Troyanski, S.   +2 more
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Three characterizations of polyhedral Banach spaces

Ukrainian Mathematical Journal, 1990
An infinite-dimensional Banach space E is called polyhedral, if intersections of all finite dimensional spaces with the unit ball are polyhedra. Three characterizations, up to isomorphism, of such spaces are given. A ``local'' characterization uses a normed set in the unit dual sphere.
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Extreme points in polyhedral Banach spaces

Israel Journal of Mathematics, 2017
Polyhedral Banach spaces were introduced by \textit{V. Klee} at the end of the paper [Acta Math. 103, 243--267 (1960; Zbl 0148.16203)] in 1960 as those real spaces where the unit balls of all subspaces are polygons. \(c_0\) serves as the basic example of such a space, and Klee proved in the last theorem of that paper the non-trivial fact that \(c_0 ...
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