Conditions equivalent to C* independence

• Autorzy: Shuilin Jin , Li Xu , Qinghua Jiang , Li Li
• Języki publikacji: EN

Abstrakty

EN

Let 𝓐 and 𝓑 be mutually commuting unital C* subalgebras of 𝓑(𝓗). It is shown that 𝓐 and 𝓑 are C* independent if and only if for all natural numbers n, m, for all n-tuples A = (A₁, ..., Aₙ) of doubly commuting nonzero operators of 𝓐 and m-tuples B = (B₁, ..., Bₘ) of doubly commuting nonzero operators of 𝓑,
$Sp(A, B) = Sp(A) × Sp(B)$,
where Sp denotes the joint Taylor spectrum.

Kategorie tematyczne

• 46L06: Tensor products of C * -algebras
• 81Q10: Selfadjoint operator theory in quantum theory, including spectral analysis
• 47A13: Several-variable operator theory (spectral, Fredholm, etc.)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2012
• Tom: 211
• Numer: 3
• Strony: 191-197

Daty

wydano

2012

Twórcy

autor

Shuilin Jin

• Department of Mathematics, Harbin Institute of Technology, Harbin, China 150001

autor

Li Xu

• College of Computer Science and Technology, Harbin Engineering University, Harbin, China 150001

autor

Qinghua Jiang

• Academy of Fundamental and Interdisciplinary Sciences, Harbin Institute of Technology, Harbin, China 150001

autor

Li Li

• Natural Science Research Center, Harbin Institute of Technology, Harbin, China 150001

Identyfikatory

DOI

10.4064/sm211-3-1