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Identifier	uch.math.phd//1993DIS0130
Title	Προβλήματα των κυρτών σωμάτων
Alternative Title	Problems on convex bodies
Creator	Giannopoulos, Apostolos
Contributor	ΤΜΗΜΑ ΜΑΘΗΜΑΤΙΚΩΝ
Abstract	Well known problems on convex bodies are studied with methods of (mainly classical) mathematical analysis. The main results: It is proved that the triangle is the only plane convex body, for which the mean value of the area of the polygon formed by choosing randomly n points in K becames maximal. Several estimations for the constant of isotropy of a convex body are proved. Counterexamples are given for the problem of Busemann-Petty concerning the extension to the volumes of two symmetric convex bodies of an inequality holding for all sections of the two bodies with hyperplanes containing their common centre of symmetry. A known estimation of the Banach-Mazur distance between an arbitrary n-dimensional normed space and ln00 is improved.
Physical description	84
Language	Greek
Subject	ΚΥΡΤΑ ΣΩΜΑΤΑ; ΠΡΟΒΛΗΜΑ BUSEMANN-PETTY; ΣΤΑΘΕΡΑ ΙΣΟΤΡΟΠΙΑΣ; ΓΕΩΜΕΤΡΙΚΕΣ ΠΙΘΑΝΟΤΗΤΕΣ; ΑΠΟΣΤΑΣΗ BANACH-MAZUR; CONVEX BODIES; BUSEMANN-PETTY PROBLEMS; GEOMETRIC PROBABILITIES; CONSTANT OF ISOTROPY; BANACH-MAZUR DISTANCE
Issue date	1993-06-01
Date available	1997-06-6
Collection	School/Department--School of Sciences and Engineering--Department of Mathematics--Doctoral theses
	Type of Work--Doctoral theses
Notes	Committee Member ΑΡΓΥΡΟΣ ΣΠΥΡΟΣ (ΕΕ)
	Committee Member ΓΡΥΛΛΑΚΗΣ ΚΩΣΤΑΣ (ΕΕ)
	Committee Member ΔΑΛΛΑ ΛΕΩΝΗ (ΕΕ)
	Committee Member ΝΕΓΡΕΠΟΝΤΗΣ ΣΤΕΛΙΟΣ (ΕΕ)
	Committee Member ΝΕΣΤΟΡΙΔΗΣ ΒΑΣΙΛΗΣ (ΕΕ)
	Committee Member ΠΑΜΦΙΛΟΣ ΠΑΡΙΣ (ΕΕ)
	Committee Member ΠΑΠΑΔΟΠΟΥΛΟΥ ΣΟΥΖΑΝΑ (ΕΕ)
	Number of References 48
	ΔΕΝ ΥΠΑΡΧΕΙ ΕΥΡΕΤΗΡΙΟ
	ΔΕΝ ΥΠΑΡΧΕΙ ΠΑΡΑΡΤΗΜΑ
Permanent Link	https://elocus.lib.uoc.gr//dlib/b/7/e/metadata-dlib-1993DIS0130.tkl
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