J. Korean Math. Soc. 2005; 42(2): 243-254
Printed March 1, 2005
Copyright © The Korean Mathematical Society.
Pascal Maroni
Universite Pierre et Marie Curie
The Alaway's theorem on orthogonality preserving maps [1] is revisited and we provide a new proof of this result, through an original separation property involving regular forms. In fact we show a light more general result concerning weakly orthogonal sequences.
Keywords: orthogonal polynomials, regular forms, isomorphisms
MSC numbers: 33C45, 42C05
2005; 42(4): 673-693
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