Geodesic
A Spectral Theorem for Hermitian Operators of Meromorphic Type on Banach Spaces
Canadian mathematical bulletin, Tome 17 (1975) no. 5, pp. 703-708

Voir la notice de l'article provenant de la source Cambridge University Press

It is well known that if T is a compact self-adjoint operator on a Hilbert space whose distinct non-zero eigenvalues {λn } are arranged so that |λn |≥|λn+1| for n = 1, 2.... and if En in the spectral projection corresponding to λn , then with convergence in the uniform operator topology. With the generalisation of self-adjoint operators on Hilbert spaces to Hermitian operators on Banach spaces by Vidav and Lumer, Bonsall gave a partial analogue of this result for Banach spaces when he proved the following theorem. 
Owusu-Ansah, T. A Spectral Theorem for Hermitian Operators of Meromorphic Type on Banach Spaces. Canadian mathematical bulletin, Tome 17 (1975) no. 5, pp. 703-708. doi: 10.4153/CMB-1974-127-1
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