On the infinite product of operators in Hilbert space
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- by László Mate PDF
- Proc. Amer. Math. Soc. 126 (1998), 535-543 Request permission
Abstract:
We give a necessary and sufficient condition for a certain set of infinite products of linear operators to be zero. We shall investigate also 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 the König Lemma for infinite trees in graph theory.References
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Additional Information
- László Mate
- Affiliation: Institute of Mathematics, Technical University of Budapest, H-1111 Sztoczek u. 2 H 26, Budapest, Hungary
- Email: mate@math.bme.hu
- Received by editor(s): May 15, 1996
- Received by editor(s) in revised form: August 21, 1996
- Communicated by: Palle E. T. Jorgensen
- © Copyright 1998 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 126 (1998), 535-543
- MSC (1991): Primary 47A05; Secondary 46C99, 15A60, 05C05
- DOI: https://doi.org/10.1090/S0002-9939-98-04067-2
- MathSciNet review: 1415333