About Riesz theory of compact operators
نویسندگان
چکیده
منابع مشابه
Compact operators on Banach spaces: Fredholm-Riesz
1. Compact operators on Banach spaces 2. Appendix: total boundedness and Arzela-Ascoli [Fredholm 1900/1903] treated compact operators as limiting cases of finite-rank operators. [1] [Riesz 1917] defined and made direct use of the compactness condition, more apt for Banach spaces. See [Riesz-Nagy 1952] for extensive discussion in the Hilbert-space situation, and many references to original paper...
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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: BIBECHANA
سال: 2012
ISSN: 2382-5340,2091-0762
DOI: 10.3126/bibechana.v9i0.7186