When is f(x,y)= u(x)+v(y)?

Cowsik, R. C. ; Klopotowski, A. ; Nadkarni, M. G. (1999) When is f(x,y)= u(x)+v(y)? Proceedings of the Indian Academy of Sciences - Mathematical Sciences, 109 (1). pp. 57-64. ISSN 0253-4142

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Official URL: http://www.ias.ac.in/j_archive/mathsci/109/1/57-64...

Related URL: http://dx.doi.org/10.1007/BF02837767


Let X and Y be arbitrary non-empty sets and let S a non-empty subset of X ×Y. We give necessary and sufficient conditions on S which ensure that every real valued function on S is the sum of a function on X and a function on Y.

Item Type:Article
Source:Copyright of this article belongs to Indian Academy of Sciences.
Keywords:Subsets of Cartesian Products; Good Set
ID Code:23435
Deposited On:25 Nov 2010 09:17
Last Modified:17 May 2016 07:16

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