Decomposition of an Algebra of Operators into Irreducible Algebras

M. A. Naimark
Additional contact information
M. A. Naimark: Academy of Sciences, Steklov Institute of Mathematics

Chapter Chapter VIII in Normed Algebras, 1972, pp 499-522 from Springer

Abstract: Abstract A set S of bounded linear operators in the Hilbert space ℌ is said to be irreducible if there does not exist in ℌ a closed subspace, different from (0) and all of ℌ, which is invariant relative to all operators A ∈ S; otherwise, S is said to be reducible. In particular, a symmetric algebra R ⊂ $$\mathfrak{B}$$ (ℌ) is called irreducible or reducible if it is an irreducible or reducible set respectively.

Keywords: Hilbert Space; Compact Space; Commutative Algebra; Separable Hilbert Space; Symmetric Algebra (search for similar items in EconPapers)
Date: 1972
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:978-94-009-9260-3_8

Ordering information: This item can be ordered from
http://www.springer.com/9789400992603

DOI: 10.1007/978-94-009-9260-3_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 ().