Keiji Izuchi, Yasuo Matsugu
Abstract
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Abstract Generalizing the notion of invariant subspaces on the 2-dimensional torus T2, we study the structure of Aϕ-invariant subspaces of L2(T2). A complete description is given of Aϕ-invariant subspaces that satisfy conditions similar to those studied by Mandrekar, Nakazi, and Takahashi.
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Abstract Generalizing the notion of invariant subspaces on the 2-dimensional torus T2, we study the structure of Aϕ-invariant subspaces of L2(T2). A complete description is given of Aϕ-invariant subspaces that satisfy conditions similar to those studied by Mandrekar, Nakazi, and Takahashi.
Key concepts: Linear subspace, Mathematics, Torus, Invariant (physics), Reflexive operator algebra, Pure mathematics, Invariant polynomial, Discrete mathematics