- 期刊
P-REPRESENTABLE OPERATORS IN BANACH SPACES
摘要
Let E and F be Banach spaces. An operator T ℇ L(E,F) is called p-representable if there exists a finite measure u on the unit ball, B(E*), of E* and a function g ℇ L^q(u,F),1/p +1/q =1, such that (The equation is abbreviated) for all x ℇ E The object of this paper is to investigate the class of all p-representable operators. In particular, it is shown that p-representable operators form a Banach ideal which is stable under injective tensor product. A characterization via factorization through L^P-spaces is given.
延伸閱讀
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