A spectral mapping theorem for the Weyl spectrum
Glasgow mathematical journal, Tome 38 (1996) no. 1, pp. 61-64

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

Suppose H is a Hilbert space and write L(H) for the set of all bounded linear operators on H. If T ∈ L(H) we write σ(T) for the spectrum of T; π0(T) for the set of eigenvalues of T; and π00(T) for the isolated points of σ(T) that are eigenvalues of finite multiplicity. If K is a subset of C, we write iso K for the set of isolated points of K. An operator T ∈ L(H) is said to be Fredholm if both T−1(0) and T(H)⊥ are finite dimensional. The index of a Fredholm operator T, denoted by index(T), is defined by
Lee, Woo Young; Lee, Sang Hoon. A spectral mapping theorem for the Weyl spectrum. Glasgow mathematical journal, Tome 38 (1996) no. 1, pp. 61-64. doi: 10.1017/S0017089500031268
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