<i>A</i><sub>ϕ</sub>-Invariant Subspaces on the Torus

Keiji Izuchi, Yasuo Matsugu

Type: Article

Publication Date: 1998-02-01

Citations: 3

DOI: https://doi.org/10.4153/cjm-1998-006-0

Abstract

Abstract Generalizing the notion of invariant subspaces on the 2-dimensional torus T 2 , we study the structure of A ϕ-invariant subspaces of L 2 ( T 2 ). A complete description is given of A ϕ -invariant subspaces that satisfy conditions similar to those studied by Mandrekar, Nakazi, and Takahashi.

Locations

Canadian Journal of Mathematics - View - PDF

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