Geodesic
Intersection of Two Invariant Subspaces
Canadian mathematical bulletin, Tome 30 (1987) no. 2, pp. 129-133

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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}.
DOI : 10.4153/CMB-1987-019-6
Mots-clés : Primary 47A15, 47B35, Secondary 30D55, 30E05 
Nakazi, Takahiko. Intersection of Two Invariant Subspaces. Canadian mathematical bulletin, Tome 30 (1987) no. 2, pp. 129-133. doi: 10.4153/CMB-1987-019-6
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     title = {Intersection of {Two} {Invariant} {Subspaces}},
     journal = {Canadian mathematical bulletin},
     pages = {129--133},
     year = {1987},
     volume = {30},
     number = {2},
     doi = {10.4153/CMB-1987-019-6},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1987-019-6/}
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