On summable bases in Banach spaces
Robdera, Mangatiana A.
PublisherScience Domian International, www.sciencedomain.org
RightsIt is available under Creative Common Attribution License
Rights holderRobdera, Mangatiana A.
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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.