A signi? cant sector of the development of spectral theory outside the classical area of
Hilbert space may be found amongst at multipliers de? ned on a complex commutative …

The main focus of this book is on bounded linear operators on complex infinitedimensional
Banach spaces and their spectral properties. In recent years spectral theory, which has …

ON THE EQUIVALENCE OF BROWDER'S AND GENERALIZED BROWDER'S THEOREM
Page 1 Glasgow Math. J. 48 (2006) 179–185. C 2006 Glasgow Mathematical Journal Trust …

Let T be a bounded linear operator acting on a Banach space X such that T or its adjoint T∗
has the single-valued extension property. We prove that the spectral mapping theorem holds …

A bounded linear operator A ε B (X), X a Banach space, is heredetarily normaloid if,
whenever M⊆ X Is a closed invariant suspace of A, the restriction A| M of A to M is …

Let A be a bounded linear operator acting on a Hilbert space H. The B-Weyl spectrum of A is
the set ${\sigma} _ {B {\omega}}(A) $ of all ${\lambda}{\in}\mathbb {C} $ such that $ A …

Abstract top In the present paper, we study a-Weyl's and a-Browder's theorem for an
operator T such that T or T* satisfies the single valued extension property (SVEP). We …

Let H be a separable infinite dimensional complex Hilbert space and let B (H) denote the
algebra of bounded operators on H into itself. The generalized derivation δA, B is defined by …

For a pair of Hilbert space operators A, B ∈ B (H), A, B∈ B (H), let δ _ A, B δ A, B and Δ _ A,
B Δ A, B in B (B (H)) B (B (H)) be defined by δ _ A, B (X)= AX\!-XB δ A, B (X)= AX-XB and Δ …

Let be a bounded linear operator acting on infinite dimensional separable Hubert space H.
In this paper, we prove that the generalized Weyl's theorem holds for f (A) if A is conditionally …