ABSOLUTE CONTINUITY FOR UNBOUNDED POSITIVE SELF-ADJOINT OPERATORS
نویسندگان
چکیده
منابع مشابه
Approximations of Strongly Continuous Families of Unbounded Self-Adjoint Operators
The problem of approximating the discrete spectra of families of self-adjoint operators that are merely strongly continuous is addressed. It is well-known that the spectrum need not vary continuously (as a set) under strong perturbations. However, it is shown that under an additional compactness assumption the spectrum does vary continuously, and a family of symmetric finite-dimensional approxi...
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This agrees with the definition of the spectrum in the matrix case, where the resolvent set comprises all complex numbers that are not eigenvalues. In terms of its spectrum, we will see that a compact operator behaves like a matrix, in the sense that its spectrum is the union of all of its eigenvalues and 0. We begin with the eigenspaces of a compact operator. We start with two lemmas that we w...
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ژورنال
عنوان ژورنال: Kyushu Journal of Mathematics
سال: 2018
ISSN: 1340-6116,1883-2032
DOI: 10.2206/kyushujm.72.407