A New Approach to Operator Ideals on Hilbert Space and Their Traces

A New Approach to Operator Ideals on Hilbert Space and Their Traces In a series of papers, I developed a new approach to operator ideals on the infinite-dimensional separable Hilbert space and their traces. Step by step, the methods have been improved and generalized. Hence it is now justified to give a mirror polished summary, which is very short and almost self-contained. No knowledge about the classical presentations of operator ideals via symmetric norming functions, symmetric sequence ideals, or characteristic sets is required. This remarkable circumstance may be particularly helpful for those readers who are not interested in the abstract theory but only in applications to pseudo-differential operators and noncommutative geometry. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Integral Equations and Operator Theory Springer Journals

A New Approach to Operator Ideals on Hilbert Space and Their Traces

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Publisher
Springer International Publishing
Copyright
Copyright © 2017 by Springer International Publishing AG, part of Springer Nature
Subject
Mathematics; Analysis
ISSN
0378-620X
eISSN
1420-8989
D.O.I.
10.1007/s00020-017-2410-x
Publisher site
See Article on Publisher Site

Abstract

In a series of papers, I developed a new approach to operator ideals on the infinite-dimensional separable Hilbert space and their traces. Step by step, the methods have been improved and generalized. Hence it is now justified to give a mirror polished summary, which is very short and almost self-contained. No knowledge about the classical presentations of operator ideals via symmetric norming functions, symmetric sequence ideals, or characteristic sets is required. This remarkable circumstance may be particularly helpful for those readers who are not interested in the abstract theory but only in applications to pseudo-differential operators and noncommutative geometry.

Journal

Integral Equations and Operator TheorySpringer Journals

Published: Nov 20, 2017

References

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