Some geometric properties related to smoothness of Banach spaces
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- 作者：Suyalatu Wulede ; Alatengsubude Han ; Laiyou Bao
- 关键词：Locally decoration ; none ; color ; black"" href=""/science?_ob=MathURL&_method=retrieve&_udi=B6V0Y-4JRM04D-1&_mathId=mml15&_user=10&_cdi=5659&_rdoc=14&_acct=C000050221&_version=1&_userid=10&md5=0d64443d80fba10d455d078d144cfce5"" ti
- 刊名：Nonlinear Analysis
- 出版年：2007
- 出版时间：1 February 2007
- 年：2007
- 卷：66
- 期：3
- 页码：723-734
- 全文大小：231 K
文摘
In this paper, we introduce a new class of Banach spaces, locally decoration:none; color:black"" href=""/science?_ob=MathURL&_method=retrieve&_udi=B6V0Y-4JRM04D-1&_mathId=mml1&_user=10&_cdi=5659&_rdoc=14&_acct=C000050221&_version=1&_userid=10&md5=63d7d4f76c6c1863e18c8029e732fa09"" title=""Click to view the MathML source"">k nearly uniformly smooth spaces, which is the dual notion to locally decoration:none; color:black"" href=""/science?_ob=MathURL&_method=retrieve&_udi=B6V0Y-4JRM04D-1&_mathId=mml2&_user=10&_cdi=5659&_rdoc=14&_acct=C000050221&_version=1&_userid=10&md5=985d610fad955557bbae40b100641158"" title=""Click to view the MathML source"">k nearly uniformly convex spaces introduced by Denka Kutzarova. The relationships between locally decoration:none; color:black"" href=""/science?_ob=MathURL&_method=retrieve&_udi=B6V0Y-4JRM04D-1&_mathId=mml3&_user=10&_cdi=5659&_rdoc=14&_acct=C000050221&_version=1&_userid=10&md5=dcf27522f622f6277816b1aab09a540f"" title=""Click to view the MathML source"">k nearly uniformly smooth spaces, locally decoration:none; color:black"" href=""/science?_ob=MathURL&_method=retrieve&_udi=B6V0Y-4JRM04D-1&_mathId=mml4&_user=10&_cdi=5659&_rdoc=14&_acct=C000050221&_version=1&_userid=10&md5=4d210d10d7e06d94e2fbef38b2dd98b5"" title=""Click to view the MathML source"">k uniformly smooth Banach spaces, and locally fully decoration:none; color:black"" href=""/science?_ob=MathURL&_method=retrieve&_udi=B6V0Y-4JRM04D-1&_mathId=mml5&_user=10&_cdi=5659&_rdoc=14&_acct=C000050221&_version=1&_userid=10&md5=9f1ff659b604b36ef78a632f1227ad73"" title=""Click to view the MathML source"">k smooth Banach spaces are discussed. We also introduce the two new smooth properties, () and (), which are the extensions of smooth properties (S-I) and (S-II) that were introduced by Suyalatu, and discuss the relations between (), () and other smooth properties. At last, the locally fully decoration:none; color:black"" href=""/science?_ob=MathURL&_method=retrieve&_udi=B6V0Y-4JRM04D-1&_mathId=mml10&_user=10&_cdi=5659&_rdoc=14&_acct=C000050221&_version=1&_userid=10&md5=ce3b8813e03aa61285e3282d9b6b0ea7"" title=""Click to view the MathML source"">k-smoothness, compact locally fully decoration:none; color:black"" href=""/science?_ob=MathURL&_method=retrieve&_udi=B6V0Y-4JRM04D-1&_mathId=mml11&_user=10&_cdi=5659&_rdoc=14&_acct=C000050221&_version=1&_userid=10&md5=925dcf1ee5d48ceea57842cfde1d4d74"" title=""Click to view the MathML source"">k-smoothness, smooth properties () and () in product space decoration:none; color:black"" href=""/science?_ob=MathURL&_method=retrieve&_udi=B6V0Y-4JRM04D-1&_mathId=mml14&_user=10&_cdi=5659&_rdoc=14&_acct=C000050221&_version=1&_userid=10&md5=4b10331d552a01326fea33dda036d2b4"" title=""Click to view the MathML source"">lp(Xi) are discussed.