Finite dimensional semisimple Q-algebras

• Nakazi, Takahiko

• Yamamoto, Takanori

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.

収録刊行物

• Linear Algebra and its Applications

  Linear Algebra and its Applications 420 (2-3), 407-423, 2007-01-15

  Elsevier Inc.

キーワード

• Commutative Banach algebra
• Semisimple Q-algebra
• Three dimension
• Norm
• Pick interpolation

詳細情報

• CRID: 1050845763911582208
• NII論文ID: 120000968626
• HANDLE: 2115/17154
• ISSN: 00243795
• 本文言語コード: en
• 資料種別: journal article
• データソース種別:
  • IRDB
  • CiNii Articles
  • KAKEN