Extension d'un Théorème de Harte et Applications aux Algèbres de Jordan-Banach.
Formes multiplicatives à valeurs dans le spectre
Diagonalization in Banach algebras and Jordan-Banach algebras.
Trace and determinant in Jordan-Banach algebras.
Using an appropriate definition of the multiplicity of a spectral value, we introduce a new definition of the trace and determinant of elements with finite spectrum in Jordan-Banach algebras. We first extend a result obtained by J. Zemánek in the associative case, on the connectedness of projections which are close to each other spectrally (Theorem 2.3). Secondly we show that the rank of the Riesz projection associated to a finite-rank element a and a finite subset of its spectrum is equal to the...
Page 1