In mathematics, the trace operator extends the notion of the restriction of a function to the boundary of its domain to "generalized" functions in a Sobolev...

implies that similar matrices have the same trace. As a consequence one can define the trace of a linear operator mapping a finite-dimensional vector space...

specifically functional analysis, a trace-class operator is a linear operator for which a trace may be defined, such that the trace is a finite number independent...

partial trace is a generalization of the trace. Whereas the trace is a scalar valued function on operators, the partial trace is an operator-valued function...

Look up Trace, trace, traces, or tracing in Wiktionary, the free dictionary. Trace may refer to: Trace (Son Volt album), 1995 Trace (Died Pretty album)...

In mathematics, a weak trace class operator is a compact operator on a separable Hilbert space H with singular values the same order as the harmonic sequence...

matrices and linear operators on Hilbert spaces. This article covers some important operator inequalities connected with traces of matrices. Let H n...

which is the operator norm induced by the vector 2-norm (see above). Finally, p = 1 yields the nuclear norm (also known as the trace norm, or the Ky...

product of two Hilbert–Schmidt operators has finite trace-class norm; therefore, if A and B are two Hilbert–Schmidt operators, the Hilbert–Schmidt inner product...

(\varepsilon ^{T}\Lambda \varepsilon )} . Next, by the cyclic property of the trace operator, E ⁡ [ tr ⁡ ( ε T Λ ε ) ] = E ⁡ [ tr ⁡ ( Λ ε ε T ) ] . {\displaystyle...