Adjoint of the Toeplitz operator with the singular inner function

作者：Izuchi Kei Ji; Izuchi Kou Hei; Izuchi Yuko

来源：Journal of Mathematical Analysis and Applications, 2017, 452(2): 906-911.

DOI：10.1016/j.jmaa.2017.03.001

• Invariant subspace problem
• Hardy space
• Toeplitz operator
• Backward shift invariant subspace
• Inner function

Let psi(delta 1) be the singular inner function associated with the unit point mass at z = 1. We shall give an infinite dimensional closed subspace M of ker T-psi delta 1*, the kernel of the adjoint of the Toeplitz operator T-psi delta 1, satisfying that for every nonzero v in M, the smallest backward shift invariant subspace of H-2 containing v coincides with ker T-psi delta 1*.

• 出版日期2017-8-15