Non-normal elements in Banach *-algebras

• Autorzy: B. Yood
• Języki publikacji: EN

Abstrakty

EN

Let A be a Banach *-algebra with an identity, continuous involution, center Z and set of self-adjoint elements Σ. Let h ∈ Σ. The set of v ∈ Σ such that (h + iv)ⁿ is normal for no positive integer n is dense in Σ if and only if h ∉ Z. The case where A has no identity is also treated.

Kategorie tematyczne

• 46L05: General theory of C * -algebras

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2004
• Tom: 160
• Numer: 3
• Strony: 201-204

Daty

wydano

2004

Twórcy

autor

B. Yood

• Department of Mathematics, University of Oregon, Eugene, OR 97403, U.S.A.

Identyfikatory

DOI

10.4064/sm160-3-1