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A Density Theorem on the Operator Algebra in Pontrjagin Space

✍ Scribed by Tong Yusun

Publisher: Elsevier Science
Year: 2002
Tongue: English
Weight: 115 KB
Volume: 268
Category: Article
ISSN: 0022-247X
DOI: 10.1006/jmaa.2001.7804

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✦ Synopsis

Kaplansky density theorem is extremely useful in dealing with * -algebras of operators. This theorem says that if is a C * -algebra of B(H) with a strong closure , then the unit ball 1 of is strongly dense in the unit ball 1 of . Many deep results for the operator algebra are deduced with this technical tool. The main purpose of this paper is to give a relevant density result in Pontrjagin space.

Suppose that is an operator algebra in Pontrjagin space. Denote

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