منابع مشابه
Commutator structure of operator ideals
Commutator structure of operator ideals Ken Dykema, ,1 Tadeusz Figiel, Gary Weiss, and Mariusz Wodzicki Department of Mathematics, Texas A&M University, College Station, TX 77843-3368, USA b Instytut Matematyczny Polskiej Akademii Nauk, 81-825 Sopot, Poland Department of Mathematical Sciences, University of Cincinnati, Cincinnati, OH 45221-0025, USA Department of Mathematics, University of Cali...
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 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 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 کاملAsymptotic Versions of Operators and Operator Ideals
The goal of this note is to introduce new classes of operator ideals, and, moreover, a new way of constructing such classes through an application to operators of the asymptotic structure recently introduced by Maurey, Milman, and Tomczak-Jaegermann in Op. Th. Adv. Appl. 77 (1995), 149–175.
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: MATHEMATICA SCANDINAVICA
سال: 1999
ISSN: 1903-1807,0025-5521
DOI: 10.7146/math.scand.a-13880