For a bounded linear operator A on a Hilbert space H we study local spectral sets and their relation to the spectrum of the local operator. By the local operator we mean A restricted to a Krylov subspace spanfb; Ab; A 2 b; :::g for a generic b 2 H. Moreover we investigate the relation between (A), the spectrum of A, and the spectrum of the local operator. Also spectral properties of the spectru...

Let A be a bounded linear operator on a Banach space X. We investigate the conditions of existing rank-one operator B such that I+f(A)B is invertible for every analytic function f on sigma(A). Also we compare the invariant subspaces of f(A)B and B. This work is motivated by an operator method on the Banach space ell^2 for solving some PDEs which is extended to general operator space under some ...

The 70.6 MHz llB NMR spectrum of (3)-1,2-B&H, consists of five doublets of relative intensities 2/3/2/1/l reading upfield. The proposed assignment of these doublet resonances is B (4, 7); B (6) and B (9, 12); B (5, 11); B (8) and B (10) respectively. The l ‘B NMR spectrum of [(3)-1,2-B&H, JZCocontains five doublets of relative intensities 1/1/4/2/l reading upheld The proposed assignment of thes...

The CLEO Collaboration has extracted improved values of |Vcb| and |Vub| from measurements of exclusive and inclusive decays of B mesons. The measurement of B → D l ν at zero recoil combined with the predicted form factor FD∗(wmin) yields |Vcb|. The photon energy spectrum in b → s γ and the hadronic recoil mass spectrum in B → Xc l ν determine non-perturbative HQET parameters used with inclusive...

Abstract For a given self-adjoint operator A with discrete spectrum, we completely characterise possible eigenvalues of its rank-one perturbations B and discuss the inverse problem reconstructing from spectrum.