ON ALMOST ISOMETRIES FROM L1 (μ) INTO L∞(v) OR Cb (△)

数学物理学报(英文版) ›› 1992, Vol. 12 ›› Issue (3): 308-311.

ON ALMOST ISOMETRIES FROM L¹ (μ) INTO L^∞(v) OR C_b (△)

定光桂

Dept. of Math., Nankai University, Tianjin 300071

收稿日期:1990-06-27 出版日期:1992-09-25 发布日期:1992-09-25

ON ALMOST ISOMETRIES FROM L¹ (μ) INTO L^∞(v) OR C_b (△)

Ding Gunanggui

Dept. of Math., Nankai University, Tianjin 300071

Received:1990-06-27 Online:1992-09-25 Published:1992-09-25

摘要/Abstract

摘要： Let μ,ν be measures with diem L¹(μ)=dim L^∞(ν)=∞ and △ be a "subinterval" of the real line. Let E=L^∞(ν) or C_b(△), in this paper it turns out that the IAP for the space B(L¹(μ)→E) has a negative answer.

定光桂. ON ALMOST ISOMETRIES FROM L¹ (μ) INTO L^∞(v) OR C_b (△)[J]. 数学物理学报(英文版), 1992, 12(3): 308-311.

Ding Gunanggui. ON ALMOST ISOMETRIES FROM L¹ (μ) INTO L^∞(v) OR C_b (△)[J]. Acta mathematica scientia,Series B, 1992, 12(3): 308-311.

ON ALMOST ISOMETRIES FROM L¹ (μ) INTO L^∞(v) OR C_b (△)

ON ALMOST ISOMETRIES FROM L¹ (μ) INTO L^∞(v) OR C_b (△)

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