On the approximation of positive operators and the behaviour of the spectra of the approximants |
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| Authors: | Frank Räbiger Manfred P H Wolff |
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| Institution: | (1) Mathematisches Institut, Universität Tübingen, Auf der Morgenstelle 10, D-72076 Tübingen, Germany |
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| Abstract: | LetT be a positive linear operator on the Banach latticeE and let (S
n
) be a sequence of bounded linear operators onE which converge strongly toT. Our main results are concerned with the question under which additional assumptions onS
n
andT the peripheral spectra   (S
n
) ofS
n
converge to the peripheral spectrum (T) ofT. We are able to treat even the more general case of discretely convergent sequences of operators. |
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| Keywords: | 47A58 47B65 47A10 |
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