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Ranks of invariant subspaces of the Hardy space over the bidisk
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Kei Ji Izuchi
,
Kou Hei Izuchi
Published/Copyright:
April 14, 2011
Abstract
Let 
be the Hardy space over the bidisk. Let {φn(z)}n ≧ 0 be a sequence of one variable inner functions such that φn(z)/φn+1(z) is a nonconstant inner function for every n ≧ 0. Associated with them, we have an invariant subspace ℳ of . When φ0(z) is a Blaschke product, it is determined rank(ℳ ⊖ w ℳ) for the fringe operator ℱz on ℳ ⊖ w ℳ and rank ℳ as an invariant subspace of .
Received: 2010-03-20
Revised: 2010-06-22
Published Online: 2011-04-14
Published in Print: 2011-October
© Walter de Gruyter Berlin · New York 2011
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Articles in the same Issue
- Period and index in the Brauer group of an arithmetic surface
- A characterization of freeness by invariance under quantum spreading
- Canonical bases and KLR-algebras
- Ranks of invariant subspaces of the Hardy space over the bidisk
- The Kähler–Ricci flow on Hirzebruch surfaces
- A correction to Hasse's version of the Grunwald–Hasse–Wang theorem
- On the regularized Siegel–Weil formula (the second term identity) and non-vanishing of theta lifts from orthogonal groups
Articles in the same Issue
- Period and index in the Brauer group of an arithmetic surface
- A characterization of freeness by invariance under quantum spreading
- Canonical bases and KLR-algebras
- Ranks of invariant subspaces of the Hardy space over the bidisk
- The Kähler–Ricci flow on Hirzebruch surfaces
- A correction to Hasse's version of the Grunwald–Hasse–Wang theorem
- On the regularized Siegel–Weil formula (the second term identity) and non-vanishing of theta lifts from orthogonal groups
