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2012 g-Bases in Hilbert Spaces
Xunxiang Guo
Abstr. Appl. Anal. 2012(none): 1-14 (2012). DOI: 10.1155/2012/923729

Abstract

The concept of g-basis in Hilbert spaces is introduced, which generalizes Schauder basis in Hilbert spaces. Some results about g-bases are proved. In particular, we characterize the g-bases and g-orthonormal bases. And the dual g-bases are also discussed. We also consider the equivalent relations of g-bases and g-orthonormal bases. And the property of g-minimal of g-bases is studied as well. Our results show that, in some cases, g-bases share many useful properties of Schauder bases in Hilbert spaces.

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Xunxiang Guo. "g-Bases in Hilbert Spaces." Abstr. Appl. Anal. 2012 1 - 14, 2012. https://doi.org/10.1155/2012/923729

Information

Published: 2012
First available in Project Euclid: 28 March 2013

zbMATH: 1266.46018
MathSciNet: MR3004882
Digital Object Identifier: 10.1155/2012/923729

Rights: Copyright © 2012 Hindawi

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