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Results tagged with operator-theory
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user 61771
Spectrum, resolvent, numerical range, functional calculus, operator semigroups. Special classes of operators: compact, Fredholm, dissipative, differential, integral, pseudodifferential, etc.
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Can a spectral projection fail to preserve a closed invariant subspace of its parent operator?
Let $X$ be a complex Banach space, and let $T:X\longrightarrow X$ be a bounded linear operator. Let $\sigma_1$ and $\sigma_2$ be disjoint compact subsets of $\mathbb{C}$ for which $\sigma_1\cup \sigma …
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Spectra on different spaces
I know it's a while since this question was asked, but I think the book "Linear Operators and their Spectra" by E. Brian Davies might contain some information about what's being asked here. In particu …
- 778