Journal of Geometric Analysis

, Volume 23, Issue 2, pp 490–538

Flat Forms in Banach Spaces

Article

Abstract

We define a flat partial differential form in a Banach space and show that the space of these forms is isometrically the dual space of the space of flat chains as defined by T. Adams.

Keywords

Flat chain Flat cochain Flat form Partial form Banach space 

Mathematics Subject Classification (2000)2010

28A75 28C05 49Q15 

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Copyright information

© Mathematica Josephina, Inc. 2011

Authors and Affiliations

  1. 1.Department of MathematicsKenyon CollegeGambierUSA

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