Matrix transformations of l^q(X) to l^p(Y )
Matrix transformations of l^q(X) to l^p(Y )
摘要
Let X and Y be Banach spaces, 0 〈 q 〈 +∞, i ≤ p 〈 +∞. In this paper, we characterize matrix transformations of lq ( X ) to lp ( Y ).
Let X and Y be Banach spaces, 0 〈 q 〈 +∞, i ≤ p 〈 +∞. In this paper, we characterize matrix transformations of lq ( X ) to lp ( Y ).
基金
Supported by Natural Science Foundations of China (11101108, 11171301, 10771191 and 10471124)
Natural Science Foundation of Zhejiang Province of China (Y6090105)
参考文献13
-
1G Bennett, N J Kalton. Inclusion theorems for K-spaces, Canad J Math, 1973, 25: 511-524.
-
2RLLi, J M Wang. Invariants in abstract mapping pairs, J Aust Math Soc, 2004, 76: 369-381.
-
3RLLi, FBWang, SHZhong. The strongest intrinsic meaning of sequential-evalution conver- gence, Topology Appl, 2007, 154: 1195-1205.
-
4RL Li, S H Zhong, L S Li. Demi-linear analysis I-Basic principles, J Korean Math Soc, 2009, 46: 643-656.
-
5I J Maddox. Infinite Matrices of Operators, In: Lecture Notes in Mathematics, Vol. 786, Springer- Verlag, 1980.
-
6W B Qu, J D Wu. On Antosik's lemma and the Antosik-Mikusinski basic matrix theorem, Proc Amer Math Soc, 2002, 130: 3283-3285.
-
7WLCSargent. Some sequence spaces related to the 1p spaces, J London Math Soc, 1960, 35: 161-171.
-
8W L C Sargent. Some analogues and extensions of Mareinkiewicz's interpolation theorem, Proc London Math Soc, 1961, 11: 457-468.
-
9M Stieglitz, H Tietz. Matrix transformationen yon Folgenr~iumen eine Ergebnisiibersicht, Math Z, 1977, 154: 1-16.
-
10C Swartz. The Schur and Hahn theorems for operator matrices, Rocky Mountain J Math, 1985, 15: 61-73.