J. Korean Math. Soc. 2008; 45(1): 151-161
Printed January 1, 2008
Copyright © The Korean Mathematical Society.
In-Sook Kim
Sungkyunkwan University
We prove that a countably condensing operator defined on a closed wedge in a Banach space has a fixed point if it is strictly quasibounded, by using an index theory for such operators. From this, the existence of eigenvalues and surjectivity are deduced.
Keywords: fixed points, eigenvalues, surjectivity, countably condensing maps
MSC numbers: 47H10, 47J10, 47H09
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