In mathematics, a trace class operator is a compact operator for which a trace may be defined, such that the trace is finite and independent of the choice of basis. Trace class operators are essentially the same as nuclear operators, though many authors reserve the term "trace class operator" for the special case of nuclear operators on Hilbert spaces, and reserve nuclear (=trace class) operators for more general Banach spaces.
Read more about Trace Class: Definition, Properties
Famous quotes containing the words trace and/or class:
“And in these dark cells,
packed street after street,
souls live, hideous yet
O disfigured, defaced,
with no trace of the beauty
men once held so light.”
—Hilda Doolittle (18861961)
“There is a struggle between the Oriental and the Occidental in every nation; some who would be forever contemplating the sun, and some who are hastening toward the sunset. The former class says to the latter, When you have reached the sunset, you will be no nearer to the sun. To which the latter replies, But we so prolong the day.”
—Henry David Thoreau (18171862)