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Finite dimensional semisimple Qalgebras
Title:  Finite dimensional semisimple Qalgebras 
Authors:  Nakazi, Takahiko Browse this author  Yamamoto, Takanori Browse this author 
Keywords:  commutative Banach algebra  semisimple Qalgebra  three dimension  norm  Pick interpolation 
Issue Date:  2006 
Publisher:  Department of Mathematics, Hokkaido University 
Journal Title:  Hokkaido University Preprint Series in Mathematics 
Volume:  793 
Start Page:  1 
End Page:  17 
Abstract:  A Qalgebra can be represented as an operator algebra on an infinite dimensional Hilbert space. However we don't know whether a finite ndimensional Qalgebra can be represented on a Hilbert space of dimension n except n = 1, 2. It is known that a two dimensional Qalgebra is just a two dimensional commutative operator algebra on a two dimensional Hilbert space. In this paper we study a finite ndimensional semisimple Qalgebra on a finite ndimensional Hilbert space. In particular we describe a three dimensional Qalgebra of the disc algebra on a three dimensional Hilbert space. Our studies are related to the Pick interpolation problem for a uniform algebra. 
Type:  bulletin (article) 
URI:  http://hdl.handle.net/2115/69601 
Appears in Collections:  理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics

Submitter: 数学紀要登録作業用
