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Spectrum, resolvent, numerical range, functional calculus, operator semigroups. Special classes of operators: compact, Fredholm, dissipative, differential, integral, pseudodifferential, etc.
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Accepted
Weak sequential compactness on the space of compact operators
The key here is the isometric embedding of $K(E,F)$ into the space of continuous functions on the compact space $M=B_{E^{**}}\times B_{F^*}$.
Suppose that $A$ is WOT$^*$ sequentially compact; $A$ is b …