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Vector-Valued Submarkov Operators and Recurrent Iterated Function Systems

✍ Scribed by Chi-Wai Leung

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
109 KB
Volume
254
Category
Article
ISSN
0022-247X

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✦ Synopsis

We consider a recurrent IFS with place-dependent transition weights. By using the quasi-compact operator theory and the spectral theory of positive operators, the eigen-problem of the given system is studied. This is the vector analogue of Fan Ε½ .

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Orthogonal Systems of Eigenvectors and A
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## Abstract In Banach spaces the principal parts of the inverse of a holomorphic Fredholm valued operator function can be written as sums of tensor products of biorthogonal canoncial systems of eigenvectors and associated vectors of the operator function and its adjoint. If we impose a symmetry con