Journal of Operator Theory

Volume 37, Issue 2, Spring 1997 pp. 379-395.

Invariant subspace theorems for subdiagonal algebras

Authors: Takahiko Nakazi (1) and Yasuo Watatani (2)
Author institution:(1) Department of Mathematics, Hokkaido University, Sapporo, 060, JAPAN
(2) Graduate School of Mathematics, Kyushu University Ropponmatsu, Fukuoka, 810, JAPAN

Summary: We investigate a certain class of invariant subspaces of subdiagonal algebras which contains both two cases of (extended) weak*-Dirichlet algebras and analytic crossed products. We show a version of the Beurling-Lax-Halmos theorem.

Keywords: Invariant subspace, subdiagonal algebra.

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