Simpler Proof of the Ringrose's Characterization of Compact Operators
Keywords:
orthonormal sequence and orthonormal bases in Hilbert space, Ringrose's characterization of compact operators, linear operators, compact operatorsAbstract
The aim of this note is to give short, simpler and elementary proof of one characterization of compact operators via orthonormal sequences, which, hopefully will make this fact more accessible to nonspecialists and to a wide audience (especially to students). Beside this, the proof given here shows that this fact holds true for operator acting from Hilbert space to some Banach (not necessarily Hilbert) space.Downloads
Published
2015-10-28
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Section
Functional Analysis
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How to Cite
Simpler Proof of the Ringrose’s Characterization of Compact Operators. (2015). European Journal of Pure and Applied Mathematics, 8(4), 499-501. https://www.ejpam.com/index.php/ejpam/article/view/2371