Spectrum of weighted composition operators. Part II: weighted composition operators on subspaces of Banach lattices

Spectrum of weighted composition operators. Part II: weighted composition operators on subspaces... We describe the spectrum of weighted $$d$$ -isomorphisms of Banach lattices restricted on closed subspaces that are “rich” enough to preserve some “memory” of the order structure of the original lattice. The examples include (but are not limited to) weighted isometries of Hardy spaces on the polydisk and unit ball in $$\mathbb C ^n$$ . http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Positivity Springer Journals

Spectrum of weighted composition operators. Part II: weighted composition operators on subspaces of Banach lattices

Positivity , Volume 17 (3) – Nov 5, 2012
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Publisher
Springer Basel
Copyright
Copyright © 2012 by Springer Basel AG
Subject
Mathematics; Fourier Analysis; Operator Theory; Potential Theory; Calculus of Variations and Optimal Control; Optimization; Econometrics
ISSN
1385-1292
eISSN
1572-9281
D.O.I.
10.1007/s11117-012-0196-2
Publisher site
See Article on Publisher Site

Abstract

We describe the spectrum of weighted $$d$$ -isomorphisms of Banach lattices restricted on closed subspaces that are “rich” enough to preserve some “memory” of the order structure of the original lattice. The examples include (but are not limited to) weighted isometries of Hardy spaces on the polydisk and unit ball in $$\mathbb C ^n$$ .

Journal

PositivitySpringer Journals

Published: Nov 5, 2012

References

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