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Banach spaces DUG HUN HONG a , MANUEL ORDO ´ NEZ ˜ CABRERA b , SOO HAK SUNG c , ANDREI I. VOLODIN d a School of Mechanical and Automotive Engineering, Catholic University of Taegu-Hyosung, Kyunbuk 713-702, South Korea b Department of Mathematical Analysis, University of Sevilla, Sevila 41080, Spain c Department of …
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Banach spaces Andr6 Adler a, Andrew Rosalsky b,*, Andrej I. Volodin c aDepartment of Mathematics, Illinois Institute of Technology, Chicago, IL 60616, USA bDepartment of Statistics, University of Florida, Gainesville, FL 32611, USA ...
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Banach space X is a sequence {e n} n ≥ 0 of vectors in X with the property that for every vector x in X, there exist uniquely defined scalars {x n} n ≥ 0 depending on x, such that = ∑ = ∞, = (), ():= ∑ =.
Banach spaces with a Schauder basis are necessarily separable, because the countable set of finite linear combinations with rational coefficients (say) is dense.
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