The Functional Representation of Commutative Symmetric Operator Algebras in Pontryagin Space

V. I. Chilin () and S. Sh. Masharipova
Additional contact information
V. I. Chilin: Tashkent State University, Departement of Mathematics
S. Sh. Masharipova: Tashkent State University, Departement of Mathematics

A chapter in Algebra and Operator Theory, 1998, pp 103-110 from Springer

Abstract: Abstract Symmetric operator algebras are the most powerful tools in the investigations in the quantum field theory. Together with well-known C* and W*-algebras acting in the Hilbert space, recently operator algebras acting in the spaces with indefinite metric began to be used in some models of quantized fields. Particularly, these were the operator algebras in Pontryagin space [2]. Unlike deeply developed theory of C* and W*-algebras, the theory of symmetric operator algebras in a π1 space has just begun to develop.

Keywords: Invariant Subspace; General Algebra; Symmetric Algebra; Pontryagin Space; Uniform Topology (search for similar items in EconPapers)
Date: 1998
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-94-011-5072-9_8

Ordering information: This item can be ordered from
http://www.springer.com/9789401150729

DOI: 10.1007/978-94-011-5072-9_8

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().