- operator of trace class
- Математика: ядерный оператор
Универсальный англо-русский словарь. Академик.ру. 2011.
operator of trace class
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Trace class — 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… … Wikipedia
Trace — may refer to:;Mathematics, computing and electronics: * Trace (linear algebra) of a square matrix or a linear transformation * Trace class, a certain set of operators in a Hilbert space * Trace operator, a restriction to boundary operator in a… … Wikipedia
Trace (linear algebra) — In linear algebra, the trace of an n by n square matrix A is defined to be the sum of the elements on the main diagonal (the diagonal from the upper left to the lower right) of A, i.e., where aii represents the entry on the ith row and ith column … Wikipedia
Operator topology — In the mathematical field of functional analysis there are several standard topologies which are given to the algebra B(H) of bounded linear operators on a Hilbert space H. Contents 1 Introduction 2 List of topologies on B(H) 3 … Wikipedia
Trace (algèbre) — Pour les articles homonymes, voir Trace. En algèbre linéaire, la trace d une matrice carrée A est définie comme la somme de ses coefficients diagonaux et notée Tr(A). La trace peut être vue comme une forme linéaire sur l espace vectoriel des… … Wikipédia en Français
Weak operator topology — In functional analysis, the weak operator topology, often abbreviated WOT, is the weakest topology on the set of bounded operators on a Hilbert space H such that the functional sending an operator T to the complex number is continuous for any… … Wikipedia
Covariance operator — in probability theory, for a probability measure P on a Hilbert space H with inner product , the covariance of P is the bilinear form Cov: H × H → R given by for all x and y in H. The covariance operator C is then defined … Wikipedia
Operator (Ghost in the Shell) — An Operator (オペレーター, Operētā?) is a fictional class of robot in the Ghost in the Shell series. They are voiced by Eri Oono and Debra Jean Rogers. Contents 1 Bio … Wikipedia
Nuclear operator — In mathematics, a nuclear operator is roughly a compact operator for which a trace may be defined, such that the trace is finite and independent of the choice of basis (at least on well behaved spaces; there are some spaces on which nuclear… … Wikipedia
Partial trace — In linear algebra and functional analysis, the 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. The partial trace has applications in… … Wikipedia
Dixmier trace — In mathematics, the Dixmier trace, introduced by Jacques Dixmier (1966), is a non normal trace on a space of linear operators on a Hilbert space larger than the space of trace class operators. Some of its applications to noncommutative… … Wikipedia
