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作者:Keith F. Taylor , Shigeru Arimotol
来源:[J].Journal of Mathematical Chemistry(IF 1.226), 1993, Vol.12 (1), pp.17-27Springer
摘要:Abstract(#br)Fundamental techniques of functional calculus have been applied to elucidate the symmetric properties of the spectra of certain operators on Hilbert spaces. The main theorem provides, in a broader context, yet another proof of the Coulson-Rushbrooke pairing theorem. ...
作者:Peter Zizler , Keith F. Taylor , Shigeru Arimoto
来源:[J].Integral Equations and Operator Theory(IF 0.713), 1997, Vol.28 (2), pp.245-250Springer
摘要:Abstract(#br)We show that if T(F) is a selfadjoint block Toeplitz operator generated by a trigonometric matrix polynomial F , then the spectrum of T(F) as well as the limiting set Λ( F ) of the eigenvalues of the truncations T n (F) is the union of a finite collection of seg...
作者:Shigeru Arimoto , Mark Spivakovsky , Keith F. Taylor
来源:[J].Journal of Mathematical Chemistry(IF 1.226), 1995, Vol.18 (2), pp.169-177Springer
摘要:Abstract(#br)The present article provides three lemmas that initiate the generalization of the theory of additive correlation involving the Asymptotic Linearity Theorems, which were constructed for a study of the correlation between structure and properties in molecules having ma...
作者:... Mark Spivakovsky , Keith F. Taylor , Paul G. Mezey
来源:[J].Journal of Mathematical Chemistry(IF 1.226), 2005, Vol.37 (1), pp.75-91Springer
摘要:Abstract(#br)The present article is the preliminary part of a series devoted to extending the foundation of the Asymptotic Linearity Theorems (ALTs), which prove the Fukui conjecture concerning the additivity problem of the zero-point vibrational energies of hydrocarbons. In this...
作者:... Mark Spivakovsky , Keith F. Taylor , Paul G. Mezey
来源:[J].Journal of Mathematical Chemistry(IF 1.226), 2005, Vol.37 (2), pp.171-189Springer
摘要:Abstract(#br)The present article is a direct continuation of the first part of this series. We reduce a proof of the Fukui conjecture (concerning the additivity problem of the zero-point vibrational energies of hydrocarbons) to that of a proposition related to the theory of ...
作者:Eberhard Kaniuth , Keith F. Taylor
来源:[J].Manuscripta Mathematica(IF 0.392), 1989, Vol.65 (1), pp.93-111Springer
摘要:Abstract(#br)In this paper we investigate the nature of projections in the C * -algebras of nilpotent locally compact groups and of the associated compact open subsets in their dual spaces. We obtain explicit descriptions of all projections in L 1 ( G ) when G is a connected nilp...

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