Udvidet returret til d. 31. januar 2024

Bøger af Jan van Neerven

Filter
Filter
Sorter efterSorter Populære
  • - Volume II: Probabilistic Methods and Operator Theory
    af Jan van Neerven, Lutz Weis, Mark Veraar & mfl.
    1.920,95 - 1.930,95 kr.

    This second volume of Analysis in Banach Spaces, Probabilistic Methods and Operator Theory, is the successor to Volume I, Martingales and Littlewood-Paley Theory.

  • af Jan van Neerven
    1.055,95 kr.

    Over the past ten years, the asymptotic theory of one-parameter semigroups of operators has witnessed an explosive development. A number oflong-standing open problems have recently been solved and the theory seems to have obtained a certain degree of maturity. These notes, based on a course delivered at the University of Tiibingen in the academic year 1994-1995, represent a first attempt to organize the available material, most of which exists only in the form of research papers. If A is a bounded linear operator on a complex Banach space X, then it is an easy consequence of the spectral mapping theorem exp(tO"(A)) = O"(exp(tA)), t E JR, and Gelfand's formula for the spectral radius that the uniform growth bound of the wt family {exp(tA)h~o, i. e. the infimum of all wE JR such that II exp(tA)II :::: Me for some constant M and all t 2: 0, is equal to the spectral bound s(A) = sup{Re A : A E O"(A)} of A. This fact is known as Lyapunov's theorem. Its importance resides in the fact that the solutions of the initial value problem du(t) =A () dt u t , u(O) = x, are given by u(t) = exp(tA)x. Thus, Lyapunov's theorem implies that the expo­ nential growth of the solutions of the initial value problem associated to a bounded operator A is determined by the location of the spectrum of A.

  • af Jan van Neerven
    1.100,95 kr.

    Presents an account of the theory of asymptotic behaviour of semigroups of linear operators acting in a Banach space. This work focuses on the relationship between asymptotic behaviour of the semigroup and spectral properties of its infinitesimal generator.

Gør som tusindvis af andre bogelskere

Tilmeld dig nyhedsbrevet og få gode tilbud og inspiration til din næste læsning.