A property of L−L integral transformations

The main result of this paper is the result that the collection of all integral transformations of the form F(x)=∫0∞G(x,y)f(y)dy for all x≥0, where f(y) is defined on [0,∞) and G(x,y) defined on D={(x,y):x≥0,   y≥0} has no identity transformation on L, where L is the space of functions that are Lebe...

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Bibliographic Details
Main Author: Yu Chuen Wei
Format: Article
Language:English
Published: Hindawi Limited 1984-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Online Access:http://dx.doi.org/10.1155/S0161171284000533