Acta mathematica scientia,Series A ›› 2000, Vol. 20 ›› Issue (1): 58-62.

• Articles • Previous Articles     Next Articles

The relations Between Orlicz F-norm ‖ ·|‖ρ |and its parental modular &rho|and the inverting problem

 WANG Jian, WANG Jian-Yong   

  1. department of mathematics,nankai university,tian jin 300071 department of mathematics,fujian normal university,fuzhou |350007 department of mathematics,changshu college,jiangsu 215500
  • Online:2000-01-07 Published:2000-01-07

Abstract:

Inthispaper,therelationsbetweenOrliczFnorm ‖·‖ρanditsparentalmodularρarediscussedandsixpropositionsofsuchrelationsaregiven.Theauthorsalsoproposedtheinvertingproblem ofFnorm andgavetwoimportantresults:ineverylinear space,eachβnorm (0<β<1)canbeinverted,butanynorm (β=1)cann'tbeinverted

Key words: (Parental)modular, (Orlicz)F-norm, βnorm, Theinvertingproblem, Invertingmodular.

CLC Number: 

  • 46A16,46E30
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