"Irrational" constructions in convex geometry

V. Milman; L. Rotem

doi:10.1090/spmj/1487

"Irrational" constructions in convex geometry

V. Milman, L. Rotem

School of Mathematical Sciences

Tel Aviv University

Research output: Contribution to journal › Article › peer-review

Abstract

Several ways to define various "irrational" functions of convex bodies, like the geometric mean or power functions, are discussed.

Original language	English
Pages (from-to)	165-175
Number of pages	11
Journal	St. Petersburg Mathematical Journal
Volume	29
Issue number	1
DOIs	https://doi.org/10.1090/spmj/1487
State	Published - 2018

Keywords

Convex body
Ellipsoid
Minkowski sum
Polar body
Polarity map
Support function

All Science Journal Classification (ASJC) codes

Analysis
Algebra and Number Theory
Applied Mathematics

Access to Document

10.1090/spmj/1487

Cite this

@article{5b5a2b9492b54576bbf0cec245f00b77,

title = "{"}Irrational{"} constructions in convex geometry",

abstract = "Several ways to define various {"}irrational{"} functions of convex bodies, like the geometric mean or power functions, are discussed.",

keywords = "Convex body, Ellipsoid, Minkowski sum, Polar body, Polarity map, Support function",

author = "V. Milman and L. Rotem",

note = "Publisher Copyright: {\textcopyright} 2017 American Mathematical Society.",

year = "2018",

doi = "10.1090/spmj/1487",

language = "الإنجليزيّة",

volume = "29",

pages = "165--175",

journal = "St. Petersburg Mathematical Journal",

issn = "1061-0022",

publisher = "American Mathematical Society",

number = "1",

}

TY - JOUR

T1 - "Irrational" constructions in convex geometry

AU - Milman, V.

AU - Rotem, L.

PY - 2018

Y1 - 2018

N2 - Several ways to define various "irrational" functions of convex bodies, like the geometric mean or power functions, are discussed.

AB - Several ways to define various "irrational" functions of convex bodies, like the geometric mean or power functions, are discussed.

KW - Convex body

KW - Ellipsoid

KW - Minkowski sum

KW - Polar body

KW - Polarity map

KW - Support function

UR - http://www.scopus.com/inward/record.url?scp=85040031778&partnerID=8YFLogxK

U2 - 10.1090/spmj/1487

DO - 10.1090/spmj/1487

M3 - مقالة

SN - 1061-0022

VL - 29

SP - 165

EP - 175

JO - St. Petersburg Mathematical Journal

JF - St. Petersburg Mathematical Journal

IS - 1

ER -

"Irrational" constructions in convex geometry

Abstract

Keywords

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Cite this