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:
“No trace of slavery ought to mix with the studies of the freeborn man.... No study, pursued under compulsion, remains rooted in the memory.”
—Plato (c. 427–347 B.C.)
“... social evils are dangerously contagious. The fixed policy of persecution and injustice against a class of women who are weak and defenseless will be necessarily hurtful to the cause of all women.”
—Fannie Barrier Williams (1855–1944)