Hostname: page-component-cd9895bd7-fscjk Total loading time: 0 Render date: 2024-12-29T19:39:24.307Z Has data issue: false hasContentIssue false
  • English
  • Français

TILING INFINITE-DIMENSIONAL NORMED SPACES

Published online by Cambridge University Press:  01 November 1997

V. FONF ,
A. PEZZOTTA  and
C. ZANCO
V. FONF
Affiliation:
Department of Mathematics, Ben-Gurion University of the Negev, P.O. Box 653, Beer-Sheva 84105, Israel
A. PEZZOTTA
Affiliation:
Dipartimento di Matematica ‘F. Enriques’, Universita' degli Studi, Via C. Saldini, 50, 20133 Milano Mi, Italy
C. ZANCO
Affiliation:
Dipartimento di Matematica ‘F. Enriques’, Universita' degli Studi, Via C. Saldini, 50, 20133 Milano Mi, Italy
Get access

Abstract

The present paper deals with real infinite-dimensional normed spaces; some of the main concepts here make sense, and have been treated in the literature, in the general context of topological Hausdorff linear spaces over reals.

A subset of a normed space X is a body if it is different from X itself and is the closure of its non-empty interior. A covering of X by bodies is called a tiling ofX whenever any two different members of it have disjoint interiors. The elements of such a covering are called tiles. A tiling is bounded (respectively convex) whenever each tile is bounded (respectively convex).

Type
Research Article
Information
Bulletin of the London Mathematical Society , Volume 29 , Issue 6 , November 1997 , pp. 713 - 719
Copyright
© The London Mathematical Society 1997

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)