A characterization of inner product spaces using absolutely 2-summing operators
نویسندگان
چکیده
منابع مشابه
Absolutely 2-Summing Operators, 2 a Symmetric Sequence Space
Pietsch [5] introduced the concept of absolutely summing operators in Banach spaces and later in [6] extended this concept to absolutely p-summing operators. At the background of these concepts are the sequence spaces I p and their duality theory. The object of the present paper is to extend the above concept to abstract sequence spaces 2. The sequence spaces 2 involved are described in Section...
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The notion of absolutely (p; q)-summing linear operators is due to A. Pietsch [18] and B. Mitiagin and A. Pe lczyński [14], inspired by previous works of A. Grothendieck. The nonlinear theory of absolutely summing operators was initiated by A. Pietsch and a complete nonlinear approach was introduced by M.C. Matos [12]. Let X,Y be Banach spaces over a fixed scalar field K = R or C; for 1 ≤ p < ∞...
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ژورنال
عنوان ژورنال: Studia Mathematica
سال: 1970
ISSN: 0039-3223,1730-6337
DOI: 10.4064/sm-38-1-271-276