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

DOI

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
@article{10_4153_CMB_1974_127_1,
     author = {Owusu-Ansah, T.},
     title = {A {Spectral} {Theorem} for {Hermitian} {Operators} of {Meromorphic} {Type} on {Banach} {Spaces}},
     journal = {Canadian mathematical bulletin},
     pages = {703--708},
     year = {1975},
     volume = {17},
     number = {5},
     doi = {10.4153/CMB-1974-127-1},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1974-127-1/}
}
TY  - JOUR
AU  - Owusu-Ansah, T.
TI  - A Spectral Theorem for Hermitian Operators of Meromorphic Type on Banach Spaces
JO  - Canadian mathematical bulletin
PY  - 1975
SP  - 703
EP  - 708
VL  - 17
IS  - 5
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1974-127-1/
DO  - 10.4153/CMB-1974-127-1
ID  - 10_4153_CMB_1974_127_1
ER  - 
%0 Journal Article
%A Owusu-Ansah, T.
%T A Spectral Theorem for Hermitian Operators of Meromorphic Type on Banach Spaces
%J Canadian mathematical bulletin
%D 1975
%P 703-708
%V 17
%N 5
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1974-127-1/
%R 10.4153/CMB-1974-127-1
%F 10_4153_CMB_1974_127_1

Cité par Sources :