ON THE INFINITE PRODUCT OF OPERATORS IN HILBERT-SPACE

Authors
MATE L
Citation
L. Mate, ON THE INFINITE PRODUCT OF OPERATORS IN HILBERT-SPACE, Proceedings of the American Mathematical Society, 126(2), 1998, pp. 535-543
Citations number
3
Categorie Soggetti
Mathematics,Mathematics,Mathematics,Mathematics
Journal title
Proceedings of the American Mathematical Society → ACNP
ISSN journal
00029939
Volume
126
Issue
2
Year of publication
1998
Pages
535 - 543
Database
ISI
SICI code
0002-9939(1998)126:2<535:OTIPOO>2.0.ZU;2-P
Abstract
We give a necessary and sufficient condition for a certain set of infi nite products of linear operators to be zero. We shall investigate als o the case when this set of infinite products converges to a non-zero operator. The main device in these results is a weighted version of th e Konig Lemma for infinite trees in graph theory.