Finite dimensional semisimple Q-algebras

Nakazi, Takahiko; Yamamoto, Takanori

Linear Algebra and its Applications, 2007, 420(2-3), 407-423

Permalink : https://hdl.handle.net/2115/17154

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ファイル	フォーマット	サイズ	閲覧回数	説明
LAA420-2-3	pdf	825 KB	1,364

アクセス権	open access
URI	https://hdl.handle.net/2115/17154
タイトル	Finite dimensional semisimple Q-algebras
著者	著者名 Nakazi, Takahiko
著者	著者名 Yamamoto, Takanori
言語	英語
キーワード	Commutative Banach algebra
	Semisimple Q-algebra
	Three dimension
	Norm
	Pick interpolation
発行日	2007-01-15
出版者	Elsevier Inc.
収録物名	Linear Algebra and its Applications
巻(号)	420(2-3)
ページ	407-423
抄録	A Q-algebra can be represented as an operator algebra on an infinite dimensional Hilbert space. However we don’t know whether a finite n-dimensional Q-algebra can be represented on a Hilbert space of dimension n except n = 1, 2. It is known that a two dimensional Q-algebra is just a two dimensional commutative operator algebra on a two dimensional Hilbert space. In this paper we study a finite n-dimensional semisimple Q-algebra on a finite n-dimensional Hilbert space. In particular we describe a three dimensional Q-algebra of the disc algebra on a three dimensional Hilbert space. Our studies are related to the Pick interpolation problem for a uniform algebra.
資源タイプ	学術雑誌論文
出版タイプ	Accepted Manuscript
PISSN	0024-3795
関連情報	URI http://www.sciencedirect.com/science/journal/00243795
関連情報 (isVersionOf)	出版社版DOI https://doi.org/10.1016/j.laa.2006.07.016