Analysis Properties and Examples for a Class of Banach Space
Received:June 02, 2000  
Key Words: Banach space   Schauder base   continuous   differentiable   partial derivative.  
Fund Project:
Author NameAffiliation
YANG Ze-heng Dept. of Math.
Dali University
Yunnan
China 
XIONG Ming Dept. of Math.
Dali University
Yunnan
China 
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Abstract:
      We define partial derivative for a map f on Banach space with schauder base first, then discuss the relationship between differentiable property of f and existence and continuous of partial derivative of f. We also discuss the relationship between f and its coordinate functions fi about differential and continuous properties when the image space is a Banach space with Schauder base.
Citation:
DOI:10.3770/j.issn:1000-341X.2003.01.032
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