𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On a Refinement of the Gelfand-Raikov Theorem

✍ Scribed by Zoltán Sasvári


Publisher
John Wiley and Sons
Year
1991
Tongue
English
Weight
121 KB
Volume
150
Category
Article
ISSN
0025-584X

No coin nor oath required. For personal study only.

✦ Synopsis


Abetrect. I n the present note we give a simple and short proof of the following refinement of the GELFAND-RAIKOV theorem due to M. E. WALTER [2]: Given a locally compact group G and two elements xl, z g E G, neither of which is the identity e of G, then there exists a continuous, imedocible, unitary representation (U,


📜 SIMILAR VOLUMES


A Refinement of the Lecture Hall Theorem
✍ Mireille Bousquet-Mélou; Kimmo Eriksson 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 225 KB

For n 1, let L n be the set of lecture hall partitions of length n, that is, the set of n-tuples of integers \*=(\* 1 , ..., \* n ) satisfying 0 \* 1 Â1 \* 2 Â2 } } } \* n Ân. Let W\*X be the partition (W\* 1 Â1X, ..., W\* n ÂnX), and let o(W\*X) denote the number of its odd parts. We show that the

A note on the refinement of ontologies
✍ Grigoris Antoniou; Athanasios Kehagias 📂 Article 📅 2000 🏛 John Wiley and Sons 🌐 English ⚖ 128 KB 👁 2 views

Ontologies have emerged as one of the key issues in information integration and interoperability and in their application to knowledge management and electronic commerce. A trend towards formal methods for ontology management is obvious. This paper discusses a concept which can be expected to be of

On a theorem of Goldberg
✍ J. M. McDonald 📂 Article 📅 2011 🏛 John Wiley and Sons 🌐 English ⚖ 134 KB
On a Theorem of Zelmanov
✍ John S. Wilson 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 77 KB
On a Theorem of Cooper
✍ J.C. Candeal; J.R. De Miguel; E. Induráin; G.B. Mehta 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 78 KB

In this paper we study some purely mathematical considerations that arise in a paper of Cooper on the foundations of thermodynamics that was published in this journal. Connections with mathematical utility theory are studied and some errors in Cooper's paper are rectified.

On a Theorem of Lelong
✍ Lucia Alessandrini; Alessandro Silva 📂 Article 📅 1990 🏛 John Wiley and Sons 🌐 English ⚖ 341 KB

1. In [ 8 ] , p. 201, P. LELONQ has shown the following theorem: "Let X be a domain in C", n 2 3, and k a fixed integer, 2 5 k 5 n -1. Then X is STEIN ii and only if lor extra assumptiong on X are needed, see e.g. GRAUERT-REMMERT, [6], p. 158, th. 1). Its equivalence with the classical LEVI problem