A note on the differentiable structure of generalized idempotents

• Autorzy: Esteban Andruchow , Gustavo Corach , Mostafa Mbekhta
• Języki publikacji: EN

Abstrakty

EN

For a fixed n > 2, we study the set Λ of generalized idempotents, which are operators satisfying T n+1 = T. Also the subsets Λ†, of operators such that T n−1 is the Moore-Penrose pseudo-inverse of T, and Λ*, of operators such that T n−1 = T* (known as generalized projections) are studied. The local smooth structure of these sets is examined.

Słowa kluczowe

EN

Generalized idempotents; Generalized projections

Kategorie tematyczne

• 47A05: General (adjoints, conjugates, products, inverses, domains, ranges, etc.)
• 47B15: Hermitian and normal operators (spectral measures, functional calculus, etc.)

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2013
• Tom: 11
• Numer: 6
• Strony: 1004-1019

Daty

wydano

2013-06-01

online

2013-03-28

Twórcy

autor

Esteban Andruchow

autor

Gustavo Corach

autor

Mostafa Mbekhta

• UFR de Mathématiques, CNRS-UMR 8524, Université Lille 1, 59665, Villeneuve d’Ascq, France

Bibliografia

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Identyfikatory

DOI

10.2478/s11533-013-0230-z