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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 ...
On Characterization of Very Rotund Banach Spaces
(International Journal of Modern Computation, Information and Communication Technology, 10/23/2018)
It is known that the Hilbert space H is the most rotund space among all Banach spaces. The question whether if a normed space X is a rotund Banach space implies we can obtain other most rotund spaces is still open and ...