Entropy and Lorentz-Marcinkiewicz operator ideals
نویسندگان
چکیده
منابع مشابه
Entropy operator for continuous dynamical systems of finite topological entropy
In this paper we introduce the concept of entropy operator for continuous systems of finite topological entropy. It is shown that it generates the Kolmogorov entropy as a special case. If $phi$ is invertible then the entropy operator is bounded with the topological entropy of $phi$ as its norm.
متن کاملC0-semigroup and Operator Ideals
Let T (t), 0 ≤ t < ∞, be a one parameter c0-semigroup of bounded linear operators on a Banach space X with infinitesimal generator A and R(λ, A) be the resolvent operator of A. The Hille-Yosida Theorem for c0-semigroups asserts that the resolvent operator of the infinitesimal generator A satisfies ‖R(λ, A)‖ ≤ M λ−ω for some constants M > 0 and λ ∈ R (the set of real numbers), λ > ω. The object ...
متن کاملAn Extension of the Marcinkiewicz Interpolation Theorem to Lorentz Spaces
V J o v J t f(y) ) " ) 7 V J o ~ ) • Third, previously open questions concerning the Marcinkiewicz Theorem are settled by showing our result is best possible. Consider complex-valued, measurable functions ƒ defined on a measure space (ikf, m). The distribution function of ƒ is defined by (2) X(y) = X/GO =m{xeM:\ ƒ(*) | > y}, y > 0. X(y) is nonincreasing and continuous from the right. The noninc...
متن کاملReal and Complex Operator Ideals
The powerful concept of an operator ideal on the class of all Banach spaces makes sense in the real and in the complex case. In both settings we may, for example, consider compact, nuclear, or 2–summing operators, where the definitions are adapted to each other in a natural way. This paper deals with the question whether or not that fact is based on a general philosophy. Does there exists a one...
متن کاملUnusual Traces on Operator Ideals
In this note we ans~ycr a question of A. Prmsm by constructing an example of a quasi-normed operator ideal on a HILBEBT space which admits more than one continuous trace. We aiso characterize the cIms of uniquely traceable operators as described below. Let H be a separable =BERT space and let a be an ideal in X[H) (the compact operators on H). Then a trace “21) on B i s 8 linear functional t: J...
متن کاملذخیره 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: Arkiv för Matematik
سال: 1987
ISSN: 0004-2080
DOI: 10.1007/bf02384444