scholarly journals INVARIANT SUBSPACES OF FINITE CODIMENSION AND UNIFORM ALGEBRAS

2004 ◽  
Vol 46 (1) ◽  
pp. 117-120
Author(s):  
TAKAHIKO NAKAZI ◽  
TOMOKO OSAWA
Keyword(s):  
Invariant Subspaces ◽  
Finite Codimension ◽  
Uniform Algebras

scholarly journals Multipliers of invariant subspaces in the bidisc

1994 ◽  
Vol 37 (2) ◽  
pp. 193-199 ◽  
Author(s):  
Takahiko Nakazi
Keyword(s):  
Invariant Subspace ◽  
Hankel Operator ◽  
Invariant Subspaces ◽  
Inner Function ◽  
Finite Codimension ◽  
Sufficient Condition ◽  
Necessary And Sufficient Condition ◽  
Inner Functions ◽  
Necessary And Sufficient

For any nonzero invariant subspace M in H2(T2), set . Then Mx is also an invariant subspace of H2(T2) that contains M. If M is of finite codimension in H2(T2) then Mx = H2(T2) and if M = qH2(T2) for some inner function q then Mx = M. In this paper invariant subspaces with Mx = M are studied. If M = q1H2(T2) ∩ q2H2(T2) and q1, q2 are inner functions then Mx = M. However in general this invariant subspace may not be of the form: qH2(T2) for some inner function q. Put (M) = {ø ∈ L ∞: ø M ⊆ H2(T2)}; then (M) is described and (M) = (Mx) is shown. This is the set of all multipliers of M in the title. A necessary and sufficient condition for (M) = H∞(T2) is given. It is noted that the kernel of a Hankel operator is an invariant subspace M with Mx = M. The argument applies to the polydisc case.

Uniform Algebras, Hankel Operators and Invariant Subspaces

1986 ◽  
pp. 109-119
Author(s):  
Raul E. Curto ◽  
Paul S. Muhly ◽  
Takahiko Nakazit
Keyword(s):  
Invariant Subspaces ◽  
Hankel Operators ◽  
Uniform Algebras

scholarly journals Invariant subspaces with finite codimension in Bergman spaces

1992 ◽  
Vol 330 (2) ◽  
pp. 531-544 ◽  
Author(s):  
Alexandru Aleman
Keyword(s):  
Bergman Spaces ◽  
Invariant Subspaces ◽  
Finite Codimension

scholarly journals Banach Lie algebras with Lie subalgebras of finite codimension: Their invariant subspaces and Lie ideals

2009 ◽  
Vol 256 (2) ◽  
pp. 323-351 ◽  
Author(s):  
Edward Kissin ◽  
Victor S. Shulman ◽  
Yurii V. Turovskii
Keyword(s):  
Lie Algebras ◽  
Invariant Subspaces ◽  
Finite Codimension

Invariant Subspaces on KPC-Hypergroups

2019 ◽  
Vol 15 (1) ◽  
pp. 122-130
Author(s):  
Laszlo Szekelyhidi ◽  
◽  
Seyyed Mohammad Tabatabaie ◽  
Keyword(s):  
Invariant Subspaces

Invariant Subspaces

1973 ◽  
Author(s):  
Heydar Radjavi ◽  
Peter Rosenthal
Keyword(s):  
Invariant Subspaces
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