The eigenfunctions of compact weighted endomorphisms of $C(X)$
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- by Harald Uhlig PDF
- Proc. Amer. Math. Soc. 98 (1986), 89-93 Request permission
Abstract:
In this note we characterize the eigenmanifolds of compact operators $u{C_\Phi }:f \to u \cdot f \circ \Phi$ on $C(X)$ and determine their ascents. As an application we show an easy method for computing the eigenmanifolds of a matrix with at most one nonzero element in each row.References
- Herbert Kamowitz, Compact weighted endomorphisms of $C(X)$, Proc. Amer. Math. Soc. 83 (1981), no. 3, 517–521. MR 627682, DOI 10.1090/S0002-9939-1981-0627682-1
- Angus E. Taylor, Introduction to functional analysis, John Wiley & Sons, Inc., New York; Chapman & Hall, Ltd., London, 1958. MR 0098966
Additional Information
- © Copyright 1986 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 98 (1986), 89-93
- MSC: Primary 47B38; Secondary 46E25, 47B05
- DOI: https://doi.org/10.1090/S0002-9939-1986-0848882-6
- MathSciNet review: 848882