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Title: | On summable bases in Banach spaces |
Authors: | Robdera, Mangatiana A. |
Keywords: | Unconditional bases unconditional convergence Dvoretski-Rogers Theorem bounded approximation finite dimensional decomposition |
Issue Date: | 24-Jun-2014 |
Publisher: | Science Domian International, www.sciencedomain.org |
Citation: | Robdera, Mangatiana A. (2014) On summable bases in Banach spaces, British Journal of Mathematics & Computer Science, Vol. 4, No. 16, pp. 2361-2372 |
Abstract: | We introduce the notion of summable bases that naturally generalizes the notion of unconditional sequence bases for Banach spaces. We shall be particularly interested in some classical results on sequences and series in separable Banach spaces that carry over or naturally extend to the case of non-separable Banach spaces. |
URI: | http://hdl.handle.net/10311/1356 |
ISSN: | 2231-0851 |
Appears in Collections: | Research articles (Dept of Mathematics) |
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Robderai4162014BJMCS11589.pdf | 373.16 kB | Adobe PDF | ![]() View/Open |
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