Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)



Zero-diminishing linear transformations

Authors: Thomas Craven and George Csordas
Journal: Proc. Amer. Math. Soc. 80 (1980), 544-546
MSC: Primary 12D10; Secondary 30C15
MathSciNet review: 587923
Full-text PDF

Abstract | References | Similar Articles | Additional Information

Abstract: This paper solves an open problem of Karlin. We consider linear transformations defined on the set of all polynomials with real coefficients and give a complete characterization of the transformations with the property that they maintain or reduce the number of real zeros of each polynomial.

References [Enhancements On Off] (What's this?)

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 12D10, 30C15

Retrieve articles in all journals with MSC: 12D10, 30C15

Additional Information

Keywords: Zero-diminishing transformation, polynomial, number of real zeros, entire function, exponential polynomial
Article copyright: © Copyright 1980 American Mathematical Society

American Mathematical Society