Ideal norms associated with the UMD-property
نویسندگان
چکیده
منابع مشابه
[ m at h . FA ] 1 5 O ct 1 99 7 Ideal norms associated with the UMD - property
for all sequences d1, . . . , dn of X-valued martingale differences and all sequences ǫ1, . . . , ǫn of signs. (The letters UMD stand for unconditional martingale differences.) Maurey [3] and later Burkholder [2] showed, that this is the case if and only if (1) is satisfied for Walsh-Paley-martingales on the interval [0, 1) only. Throughout this article, we will only deal with those special mar...
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Abstract. In this article, we characterize the UMD–property of a Banach space X by ideal norms associated with trigonometric orthonormal systems. The asymptotic behavior of that numerical parameters can be used to decide whether or not X is a UMD–space. Moreover, in the negative case, we obtain a measure that shows how far X is from being a UMD–space. The main result is, that all described para...
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ژورنال
عنوان ژورنال: Archiv der Mathematik
سال: 1997
ISSN: 0003-889X,1420-8938
DOI: 10.1007/s000130050128