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# Shift Operators on the ${\Bbb C}^2$-valued Hardy Space

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 Title: Shift Operators on the ${\Bbb C}^2$-valued Hardy Space Authors: Douglas, Ronald G. Browse this author Nakazi, Takahiko Browse this author Seto, Michio Browse this author Keywords: vector valued Hardy spaces and shift operators Issue Date: 2007 Publisher: Department of Mathematics, Hokkaido University Journal Title: Hokkaido University Preprint Series in Mathematics Volume: 850 Start Page: 1 End Page: 16 Abstract: In this paper, we study closed invariant subspaces under the action of a unilateral shift and a truncated shift in the Hardy space that takes values in a two dimensional Hilbert space. We deal with characteristic functions, unitary equivalence and C∗-algebras on these spaces. Type: bulletin (article) URI: http://hdl.handle.net/2115/69659 Appears in Collections: 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics