Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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FIXED POINTS, EIGENVALUES AND SURJECTIVITY

  • Kim, In-Sook (Department of Mathematics Sungkyunkwan University)
  • Published : 2008.01.31
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Abstract

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.

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References

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