On the Decomposition of Unitary Operators into a Product of Finitely Many Positive Operators | Zendy

Gregor Peltri | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

On the Decomposition of Unitary Operators into a Product of Finitely Many Positive Operators

Author(s) -

Gregor Peltri

Publication year - 1995

Publication title -

zeitschrift für analysis und ihre anwendungen

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.567

H-Index - 35

eISSN - 1661-4534

pISSN - 0232-2064

DOI - 10.4171/zaa/673

Subject(s) - unitary state , decomposition , mathematics , product (mathematics) , operator theory , algebra over a field , pure mathematics , arithmetic , chemistry , geometry , organic chemistry , political science , law

We will show that in an infinite-dimensional separable Hilbert space fl, there exist constants N E hV and c, d E JR such that every unitary operator can be written as the product of at most N positive invertible operators {a k } c B(fl) with II akII < c and 11 a 'lI^ d for all k. Some consequences of this result in the context of von Neumann algebras are discussed.

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research