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Spaces of Additive Odd Operators on Sub-Normed Z-Spaces(PDF)

《南京师大学报（自然科学版）》[ISSN:1001-4616/CN:32-1239/N]

Issue:
2012年02期
Page:
1-7
Research Field:
数学
Publishing date:

Info

Title:
Spaces of Additive Odd Operators on Sub-Normed Z-Spaces
Author(s):
Fang Jinxuan1; Li Han1; 2
1.School of Mathematical Sciences,Nanjing Normal University,Nanjing 210046,China
Keywords:
sub-nomed integral-linear spaces; spaces of additive odd operators; completeness
PACS:
O177
DOI:
-
Abstract:
Using the three different sub-norm and quasi-sub-norms of additive odd operators on sub-normed integral-linear spaces，the space of additive odd operators is studied． We prove that the space of bounded ( local-bounded，ballbounded) additive odd operators with a corespoinding sub-norm ( quasi-sub-norm) of operators is a sub-normed ( quasisub- normed) space． In addition，we also give some sufficient conditions for these spaces of additive odd operators to be complete sub-normed integral-linear spaces．

References:

［1］ Wang G J，Wang W． Generalization of the scheerffer’s theorem［J］． Indian J Math，1999，41( 3) : 407-414．
［2］ Wang G J，Bai Y C． Linear structure on translation spaces［J］． Acta Mathematica Sinica: Chinese Series，2005，48( 1) : 1-10．
［3］ Li H，Fang J X． Hahn-Banach theorem on Abel group［J］． Acta Mathematica Sinica: Chinese Series，2008，51( 5) : 965- 970．
［4］ Li H，Fang J X． Additive odd operators on sub-normed integral-linear spaces［J］． Acta Mathematica Sinica: Chinese Series， 2010，53( 4) : 773-784．

Memo

Memo:
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Last Update: 2013-03-11