Spectra of the difference, sum and product of idempotents

• Autorzy: Mohamed Barraa , Mohamed Boumazgour
• Języki publikacji: EN

Abstrakty

EN

We give a simple proof of the relation between the spectra of the difference and product of any two idempotents in a Banach algebra. We also give the relation between the spectra of their sum and product.

Kategorie tematyczne

• 47B15: Hermitian and normal operators (spectral measures, functional calculus, etc.)
• 46C05: Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product)
• 47A10: Spectrum, resolvent

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2001
• Tom: 148
• Numer: 1
• Strony: 1-3

Daty

wydano

2001

Twórcy

autor

Mohamed Barraa

• Département de Mathématiques, Faculté des Sciences Semlalia, B.P. 2390 Marrakech, Maroc

autor

Mohamed Boumazgour

• Département de Mathématiques, Faculté des Sciences Semlalia, B.P. 2390 Marrakech, Maroc

Identyfikatory

DOI

10.4064/sm148-1-1