Distributional chaos for strongly continuous semigroups of operators

نویسندگان
چکیده

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Conjugacy of Strongly Continuous Semigroups Generated by Normal Operators

In this work, we show that a strongly continuous semigroup generated by a normal operator N is conjugate to the semigroup generated by the real part of N , provided zero is not an eigenvalue of the real part of N . We also show that in case N satisfies a certain sectorial property, the homeomorphism establishing the conjugacy, as well as its inverse, is locally Hölder continuous. Moreover, in c...

متن کامل

F–Products and Nonstandard Hulls for Strongly Continuous One–parameter Semigroups of Linear Operators

We give an overview of the F–product construction and the corresponding nonstandard constructions and show that (in the case of bounded ultrapowers) both constructs are isomorphic (theorem 3.15). From this we also follow a little “classical” corollary (3.14). The nonstandard construction has been investigated in [Wol84] and [Wol], the corresponding classical constructions first appeared in [Der...

متن کامل

Stabilized Approximations of Strongly Continuous Semigroups

This paper introduces stabilization techniques for intrinsically unstable, high accuracy rational approximation methods for strongly continuous semigroup. The methods not only stabilize the approximations, but improve their speed of convergence by a magnitude of up to 1/2.

متن کامل

C 2 - Preserving Strongly Continuous Markovian Semigroups

Let A' be a compact C -manifold. Let || ||, || || denote the supremum norm and the C -norm, respectively, and let \P \ be a Markovian semigroup on C(X). The semigroup's infinitesimal generator A, with domain 3), is defined by Af= lim Q t~ (P'f f), whenever the limit exists in || ||. Theorem. Assume that \P s preserves C -junctions and that the restriction of {PA to C2(X), I I' is strongly conti...

متن کامل

On the Compactness of Strongly Continuous Semigroups and Cosine Functions of Operators

In this note we relate two notions of compactness for strongly continuous semigroups of linear operators and cosine functions of linear operators. Specifically, if T denotes a strongly continuous semigroup of linear operators defined on a Banach space X, we will show that T is compact if and only if the set {(T(-)x : x £ X, \\x\\ < 1} is relatively compact in any space LP([Q, a]) ; X) for 1 < p...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Communications on Pure and Applied Analysis

سال: 2013

ISSN: 1534-0392

DOI: 10.3934/cpaa.2013.12.2069