The Hundal example revisited

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F03%3A00106845" target="_blank" >RIV/67985840:_____/03:00106845 - isvavai.cz</a>

Result on the web

—

DOI - Digital Object Identifier

—

Result language

angličtina

Original language name

The Hundal example revisited

Original language description

Hundal has recently solved a long-standing open problem by constructing an ingenious example of a cone and a half-space in the Hilbert space ${/ell_2}$, which intersect at the origin, such that the corresponding sequence of alternating nearest point mappings (although weakly convergent) does not converge in norm to zero. Using geometric insight, we modify this example and simplify its verification. In our modified example, the cone and the half-space may be disjoint.

Czech name

Hundalův příklad ještě jednou

Czech description

Článek zjednodušuje a zesiluje Hundalův příklad, že iterací projekce na dvě konvexní množiny v Hilbertově prostoru nemusí konvergovat v normě, ačkoliv konverguje v slabé topologii.

Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BA - General mathematics

OECD FORD branch

—

Project

<a href="/en/project/IAA1019103" target="_blank" >IAA1019103: Lipschitz mapping and null sets</a><br>

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year

2003

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Journal of Nonlinear and Convex Analysis

ISSN

1345-4773

e-ISSN

—

Volume of the periodical

4

Issue of the periodical within the volume

-

Country of publishing house

JP - JAPAN

Number of pages

17

Pages from-to

411-427

UT code for WoS article

—

EID of the result in the Scopus database

—