منابع مشابه
Traces on Irregular Ideals
Simple answers are given to the following and related questions: For what Hubert space operator A is it true that the smallest ideal (alternatively, the smallest norm ideal, the smallest maximal norm ideal) containing A is a norm (an intermediate norm, a principal norm) ideal? Do these ideals support a nontrivial unitary invariant positive linear functional?
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 کاملTraces on Operator Ideals and Arithmetic Means
This article investigates the codimension of commutator spaces [I, B(H)] of operator ideals on a separable Hilbert space, i.e., “How many traces can an ideal support?” We conjecture that the codimension can be only zero, one, or infinity. Using the arithmetic mean (am) operations on ideals introduced in [13] and the analogous arithmetic mean operations at infinity (am-∞) that we develop extensi...
متن کاملTraces, ideals, and arithmetic means.
This article grew out of recent work of Dykema, Figiel, Weiss, and Wodzicki (Commutator structure of operator ideals) which inter alia characterizes commutator ideals in terms of arithmetic means. In this paper we study ideals that are arithmetically mean (am) stable, am-closed, am-open, soft-edged and soft-complemented. We show that many of the ideals in the literature possess such properties....
متن کاملOn the Computation of Matrices of Traces and Radicals of Ideals
Let f1, . . . , fs ∈ K[x1, . . . , xm] be a system of polynomials generating a zero-dimensional ideal I, where K is an arbitrary algebraically closed field. We study the computation of “matrices of traces” for the factor algebra A := K[x1, . . . , xm]/I, i.e. matrices with entries which are trace functions of the roots of I. Such matrices of traces in turn allow us to compute a system of multip...
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: Proceedings of the American Mathematical Society
سال: 1989
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-1989-0984818-8