Showing content from https://doi.org/10.12697/ACUTM.2014.18.06 below:
Website Navigation
Traces of operators and their history
DOI: https://doi.org/10.12697/ACUTM.2014.18.06 Keywords: traces, operator ideals, finite rank operators, nuclear operators, approximation numbers Abstract As well known, the trace of an n×n-matrix is dened to be the sum of all entries of the main diagonal. Extending this concept to the infinite-dimensional setting does not always work, since non-converging infinite series may occur. So one had to identify those operators that possess something like a trace. In a first step, integral operators generated from continuous kernels were treated. Then the case of operators on the infinite-dimensional separable Hilbert space followed. The situation in Banach spaces turned out to be more complicated, since the missing approximation property causes a lot of trouble. To overcome those difficulties, we present an axiomatic approach in which operator ideals play a dominant rule. The considerations include also singular traces that, by denition, vanish on all finite rank operators. Downloads
Download data is not yet available.
RetroSearch is an open source project built by @garambo
| Open a GitHub Issue
Search and Browse the WWW like it's 1997 | Search results from DuckDuckGo
HTML:
3.2
| Encoding:
UTF-8
| Version:
0.7.4