Let K be a Banach space, B a unital C∗-algebra, and π : B → L(K) an injective, unital homomorphism. Suppose that there exists a function γ : K×K → R+ such that, for all k, k1, k2 ∈ K, and all b ∈ B, (a) γ(k, k) = ‖k‖2, (b) γ(k1, k2) ≤ ‖k1‖ ‖k2‖, (c) γ(πbk1, k2) = γ(k1, πb∗k2). Then for all b ∈ B, the spectrum of b in B equals the spectrum of πb as a bounded linear operator on K. If γ satisfies ...

background: the objective of this study is to establish raman signatures from pure cultures of different candida species using raman spectroscopy (rs) and use these signatures for rapid identification of unknown candida species. methods: pure cultures of five candida species were evaluated using rs to build a limited signature library. ‘raman processing’ (rp) software was used for principal com...

The main aim of this paper is to complete and improve the former results for the spectrum and …ne spectrum of the generalized di¤erence operator a;b over the sequence space c which were proved by the authors in [A.M. Akhmedov, S.R. El-Shabrawy, On the …ne spectrum of the operator a;b over the sequence space c, Comput. Math. Appl. 61 (2011) 2994-3002]. The improved results cover a wider class of...

body's iterative force-field computer program has been used to calculate strain energies in cyclooctanone (i). 348 mhz 1h nmr spectra of (i) have been investigated over the temperature range of 25° to -160°c. two conformation processes affect the 1h nmr spectrum of (i). iterative force-field calculations on the conformations and conformational interconversion paths of (i) give results consisten...

Three different Aspergillus Niger MTCC strains (872, 1785 and 2208) were used for the production of chitosan. Multivariate growth mediums in varying incubation periods were analyzed for the production. The produced chitosan was characterized by its physical appearance, moisture content (by means of gravimetric method), percentage of ash and solubility (through the Association of Official Agricu...

Abstract. We prove several new results on the absolutely continuous spectrum of perturbed one-dimensional Stark operators. First, we find new classes of potentials, characterized mainly by smoothness condition, which preserve purely absolutely continuous spectrum. Then we establish stability of the absolutely continuous spectrum in more general situations, where imbedded singular spectrum may o...

The purpose of this paper is threefold: first to mainly review several recent results concerning the fine spectrum of the operator ∆v over the sequence spaces c and lp, where 1 < p < ∞; second to provide some new results concerning the residual spectrum and the continuous spectrum of the operator ∆v over the sequence spaces c and lp; and third to modify the definition of the operator ∆v and to ...