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On the Stone-Weierstrass theorem for scalar and vector valued functions

Technical Report:

Abstract

In this paper we discuss the formulation of the Stone-Weierstrass approximation theorem for vector-valued functions and then determine whether the classical Stone-Weierstrass theorem for scalar-valued functions can be deduced from the above one. We also state some open problems in this area. (author). 15 refs.
Authors:
Publication Date:
Sep 01, 1991
Product Type:
Technical Report
Report Number:
IC-91/257
Reference Number:
SCA: 661300; PA: AIX-23:017643; SN: 92000661416
Resource Relation:
Other Information: PBD: Sep 1991
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; SCALAR FIELDS; FUNCTIONS; VECTOR FIELDS; ALGEBRA; MATHEMATICAL SPACE; TOPOLOGY; 661300; OTHER ASPECTS OF PHYSICAL SCIENCE
OSTI ID:
10118374
Research Organizations:
International Centre for Theoretical Physics (ICTP), Trieste (Italy)
Country of Origin:
IAEA
Language:
English
Other Identifying Numbers:
Other: ON: DE92616916; TRN: XA9230481017643
Availability:
OSTI; NTIS (US Sales Only); INIS
Submitting Site:
INIS
Size:
5 p.
Announcement Date:
Jun 30, 2005

Technical Report:

Citation Formats

Khan, L A. On the Stone-Weierstrass theorem for scalar and vector valued functions. IAEA: N. p., 1991. Web.
Khan, L A. On the Stone-Weierstrass theorem for scalar and vector valued functions. IAEA.
Khan, L A. 1991. "On the Stone-Weierstrass theorem for scalar and vector valued functions." IAEA.
@misc{etde_10118374,
title = {On the Stone-Weierstrass theorem for scalar and vector valued functions}
author = {Khan, L A}
abstractNote = {In this paper we discuss the formulation of the Stone-Weierstrass approximation theorem for vector-valued functions and then determine whether the classical Stone-Weierstrass theorem for scalar-valued functions can be deduced from the above one. We also state some open problems in this area. (author). 15 refs.}
place = {IAEA}
year = {1991}
month = {Sep}
}