Non invertibility of certain almost mathieu operators

Balasubramanian, R. ; Kulkarni, S. H. ; Radha, R. (2001) Non invertibility of certain almost mathieu operators Proceedings of the American Mathematical Society, 129 (7). pp. 2017-2018. ISSN 0002-9939

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Official URL: http://www.ams.org/journals/proc/2001-129-07/S0002...

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 notinvertible.

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ID Code:72368
Deposited On:29 Nov 2011 12:45
Last Modified:29 Nov 2011 12:45

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