Browsing School of Biological, Physical, Mathematics & Actuarial Sciences by Subject "Uniformly continuous"
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On Compact Operators Whose Norms Are Eigenvalues and Completeness
(International Journal of Contemporary Mathematical Sciences, 2/21/2018)Let X be a Banach space and T: X→Y be a linear operator, then Tis compact if it maps bounded sequences in X to sequences in Y with convergent subsequences, that is, if xn ∈ X is a bounded sequence, then T xn ∈ Y has a ...