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Intersection of Two Invariant Subspaces

Published online by Cambridge University Press:  20 November 2018

Takahiko Nakazi*
Affiliation:
Department of Mathematics Faculty of Science Hokkaido University Sapporo 060, Japan
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Abstract

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It is shown that, if F and G are inner functions, (H2 ⊖ FH2)/(H2 ⊖ FH2) ∩ GH2 is n-dimensional if and only if G is a Blaschke product of degree n. This is an extension of the well known result for the case (H2 ⊖ FH2) ∩ GH2 = {0}.

Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 1987

References

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