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Non-invertibility of certain almost mathieu operators
R. Balasubramanian, , R. Radha
Published in American Mathematical Society
2001
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.
About the journal
JournalProceedings of the American Mathematical Society
PublisherAmerican Mathematical Society
ISSN00029939