Almost Periodic Schrijdinger Operators in L * ( bR ) Whose Point Spectrum Is Not All
نویسنده
چکیده
We exhibit almost periodic potentials such that the corresponding SchrGdinger operators in the space of all square Haar-integrable functions on the Bohr compac-tilication of Iw have a point in the spectrum which is not an eigenvalue.
منابع مشابه
Cantor Spectrum for the Almost Mathieu Equation
Recently, there has been an explosion of interest in the study of Schrijdinger operators and Jacobi matrices with almost periodic potential (see, e.g., the review [ 161). The general belief is that generically the spectrum is a Cantor set, i.e., a nowhere dense perfect, closed set. Since it is easy to prove that the spectrum is closed and perfect (see, e.g., [2]), the key is to prove that the s...
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