trace of operator
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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
Trace operator — In mathematics, the concept of trace operator plays an important role in studying the existence and uniqueness of solutions to boundary value problems, that is, to partial differential equations with prescribed boundary conditions. The trace… … Wikipedia
Operator (linguistics) — In linguistics, an operator is a special variety of determiner including the visible interrogatives, the quantifiers, and the hypothetical invisible pronoun denoted Op. Operators are differentiated from other determiners by their ability to… … 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
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
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
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
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
