Browsing by Author "Tsang-Hai Kuo"

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On Conjugate Banach Spaces with the Radon-Nikodym Property
(交大學刊編輯委員會, 1975-07)
郭滄海
;
Tsang-Hai Kuo
哥氏空間上運算子之弱緊緻性
(1976-12)
郭滄海
;
Tsang-Hai Kuo
Weak compactness of operators on Grothenaieck spaces is investigated.If Y is a Banach space satisfying one of the following properties : (a)the unit ball of Y* is weak* sequentially compact;(b) Y=C(K) with K a countably compact scattered space; ( c) Y is an L-space; then every bounded linear operator from a Grothendieck space into Y is weakly compact.
運算子與向量測度之拓延
(1976-12)
郭滄海
;
Tsang-Hai Kuo
Let X be an L∞-space.Then every weakly compact operator on X has a weakly compact extension to any Banach space containing X.As an application, every strongly additive map on a σ-algebra ∑ has a strongly additive extension to any σ-algebra containing ∑.