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Non-invertibility of certain almost mathieu operators
R. Balasubramanian
,
S H Kulkarni
,
R. Radha
Published in American Mathematical Society
2001
DOI:
10.1090/s0002-9939-00-05760-9
Volume: 129
Issue: 7
Pages: 2017 - 2018
Abstract
It is shown that the almost Mathieu operators of the type Ten = en-1 + λsin(2nr)en + en+1 where λ is real and r is a rational multiple of π and {en : n = 1,2,3,...}, an orthonormal basis for a Hilbert space, is not invertible. © 2000 American Mathematical Society.
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First published in Notices Amer. Math. 2000-11-30, published by the American Mathematical Society. © 2000 American Mathe... ...
First published in Notices Amer. Math. 2000-11-30, published by the American Mathematical Society. © 2000 American Mathematical Society.
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Journal Details
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About the journal
Journal
Proceedings of the American Mathematical Society
Publisher
American Mathematical Society
ISSN
00029939
Authors (1)
S H Kulkarni
Department of Mathematics
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