Antonis Tsolomitis
University of the Aegean
23 Papers
136 Citations
Antonis Tsolomitis is an academic researcher from University of the Aegean. The author has contributed to research in topics: Convex body & Braille. The author has an hindex of 9, co-authored 21 publications. Previous affiliations of Antonis Tsolomitis include Ohio State University.
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Papers
Functional analysis : an introduction
Yuli Eidelman,Vitali Milman,Antonis Tsolomitis +2 more
- 23 Nov 2004
TL;DR: Hilbert spaces and basic operator theory: Linear spaces normed spaces first examples Hilbert spaces The dual space Bounded linear operators Spectrum as discussed by the authors The fundamental theorems and the basic methods Banach algebras Unbounded self-adjoint and symmetric operators in $H$ Solutions to exercises Bibliography Symbols index Subject index.
110
John's theorem for an arbitrary pair of convex bodies
TL;DR: In this article, a generalization of John's representation of the identity for the maximal volume position of a convex body inside a polygonal polygon is presented, where K and L are arbitrary smooth convex bodies in ℝ n.
51
Asymptotic formulas for the diameter of sections of symmetric convex bodies
TL;DR: For every proportion λ ∈ (0, 1) as discussed by the authors, Gromov and Vershynin gave an exact quantitative relation between global parameters of n-dimensional symmetric convex bodies and the diameter of their random ⌊λn⌋-dimensional sections.
34
Random Points in Isotropic Unconditional Convex Bodies
TL;DR: In this article, the authors considered three questions about independent random points uniformly distributed in isotropic symmetric convex bodies and proved that the answers are affirmative if there is a restriction to the class of unconditional convex body.
Volume radius of a random polytope in a convex body
Apostolos Giannopoulos,Antonis Tsolomitis +1 more
- 01 Jan 2003
TL;DR: In this paper, the authors show that the expected volume radius of this random -tope can be estimated by estimating the expected volumetric radius of the random-tope.
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