A simple proof of the closed graph theorem
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2015-12-07 https://doi.org/10.14419/gjma.v4i1.5534 -
Closed Graph Theorem, Closed Linear Operator, Uniform Boundedness Principle, New Short Proof of The Closed Graph Theorem -
Abstract
Assume that A is a closed linear operator defined on all of a Hilbert space H. Then, A is bounded. This classical theorem is proved on the basis of uniform boundedness principle. The proof is easily extended to Banach spaces.
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References
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How to Cite
Ramm, A. G. (2015). A simple proof of the closed graph theorem. Global Journal of Mathematical Analysis, 4(1), 1-1. https://doi.org/10.14419/gjma.v4i1.5534Received date: 2015-11-13
Accepted date: 2015-12-05
Published date: 2015-12-07