An infinite dimensional Banach algebra with all but one maximal abelian subalgebras of dimension two

• Autorzy: Wiesław Żelazko
• Języki publikacji: EN

Abstrakty

EN

I construct a unital closed subalgebra of \(L(H)\) with the property announced in the title. Moreover, for any two maxiamal abelian subalgebras of the algebra in question, their intersection consists only of scalar multiples of the unity.

Słowa kluczowe

EN

Abelian algebra; Bounded operators; Complex Banach space

• Wydawca: Polish Mathematical Society
• Czasopismo: Commentationes Mathematicae
• Rocznik: 2008
• Tom: 48
• Numer: 1

Daty

wydano

2008

online

2017-12-19

Twórcy

autor

Wiesław Żelazko

Identyfikatory

DOI

10.14708/cm.v48i1.5263