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In this paper we introduce and study the separable weak bounded approximation properties which is strictly stronger than the approximation property and but weaker than the bounded approximation property. It provides new sufficient conditions for the metric approximation property for a dual Banach space.
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참고문헌 (13)
참고문헌 신청
A. Grothendieck / 1955 / Produits tensoriels topologiques et espaces nucl´eires / Mem. Amer. Math. Soc 16 (16) : 140 ~
A. Lima / 2005 / The weak metric approximation property / Math. Ann 333 (3) : 471 ~ 484
C. Choi / 2006 / Weak and quasi approximation properties in Banach spaces / J. Math. Anal. Appl 316 (2) : 722 ~ 735
C. Choi / 2011 / Hahn-Banach theorem for the compact convergence topology and applications to approximation properties / Houston J. Math 37 (4) : 1157 ~ 1164
E. Oja / 2006 / The impact of the Radon-Nikod´ym property on the weak bounded approximation property / Rev. R. Acad. Cienc. Exactas Fis. Nat. Ser. A Math 100 : 325 ~ 331
A. Lima / 2005 / The weak metric approximation property / Math. Ann 333 (3) : 471 ~ 484
C. Choi / 2006 / Weak and quasi approximation properties in Banach spaces / J. Math. Anal. Appl 316 (2) : 722 ~ 735
C. Choi / 2011 / Hahn-Banach theorem for the compact convergence topology and applications to approximation properties / Houston J. Math 37 (4) : 1157 ~ 1164
E. Oja / 2006 / The impact of the Radon-Nikod´ym property on the weak bounded approximation property / Rev. R. Acad. Cienc. Exactas Fis. Nat. Ser. A Math 100 : 325 ~ 331
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