ΛBV AS A NON SEPARABLE DUAL SPACE

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AHMADI LEDARI A.; HORMOZI M.

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ISSN: 2588-4824

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Paper Information

Journal: IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A- SCIENCE Year:2010 | Volume:34 | Issue:A3 Page(s): 237-244

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Title

ΛBV AS A NON SEPARABLE DUAL SPACE

Author(s)

AHMADI LEDARI A. | HORMOZI M. | Issue Writer Certificate

Keywords

SET FUNCTIONS

DUALITY

COMPACTNESS

NON SEPARABLE

Abstract

Let C be a field of subsets of a set I. Also, let L= {li}¥i=1 be a non-decreasing positive sequence of real numbers such that l1=1, 1/l1 ® 0 and S¥i=11/li=¥. In this paper we prove that LBV of all the games of L-bounded variation on C is a non-separable and norm dual Banach space of the space of simple games on C. We use this fact to establish the existence of a linear mapping T from LBV onto F A (finitely additive SET FUNCTIONS) which is positive, efficient and satisfies a weak form of symmetry, namely invariance under a semigroup of automorphisms of (I, C).

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APA: Copy

AHMADI LEDARI, A., & HORMOZI, M.. (2010). ΛBV AS A NON SEPARABLE DUAL SPACE. IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A- SCIENCE, 34(A3), 237-244. SID. https://sid.ir/paper/587878/en

Vancouver: Copy

AHMADI LEDARI A., HORMOZI M.. ΛBV AS A NON SEPARABLE DUAL SPACE. IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A- SCIENCE[Internet]. 2010;34(A3):237-244. Available from: https://sid.ir/paper/587878/en

IEEE: Copy

A. AHMADI LEDARI, and M. HORMOZI, “ΛBV AS A NON SEPARABLE DUAL SPACE,” IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A- SCIENCE, vol. 34, no. A3, pp. 237–244, 2010, [Online]. Available: https://sid.ir/paper/587878/en

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