Self-adjoint operator
Self-adjoint operator On a finite-dimensional inner product space, a self-adjoint operator is one that is its ...
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Talk:Self-adjoint operator
Talk:Self-adjoint operator The latest anonymous "edit" intorduces a so ... finiteness is not needed for a multiplication operator to be densely defined. Enlighten me or ...
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Self-adjoint
Self-adjoint In mathematics, an element x of a star-algebra is self-adjoint if $x^*=x$. A collection ... of elements of a star-algebra is self-adjoint if it is closed under ...
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Talk:Self-adjoint
Talk:Self-adjoint A simpler definition? An operator T∈L(V) is called self-adjoint iff T = T*. Well, that's ...
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Hermitian adjoint
Hermitian adjoint In mathematics, specifically in functional analysis, one associates to every linear operator on a Hilbert space its adjoint operator. Adjoints of operators generalize conjugate transposes of ... space as "generalized complex numbers", then the adjoint of an operator plays the role ...
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Differential operator
Differential operator In mathematics, a differential operator is a linear operator defined as a function of the differentiation operator. It is helpful, as a matter of ... science). Notations The most commonly used differential operator is the action of taking the ...
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Hermite operator   (translated from Japanese)
Hermite operator Hermite operator(Hermite lie,Hermitian operator, Hermitian) Complex Hilbert space OperatorIt is thing ... Hilbert space which it has H Linear operator above H < Math> \langle h\xi, \eta ... regardsHermite operatorOrSelf conjugate operatorWith it is called. Self conjugation (Self-adjoint) GenerallyInner product spaceSo < ...
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Operator algebra
Operator algebra In functional analysis, an operator algebra is an algebra of continuous linear ... required to be closed in a specified operator topology. In particular, it is a set ... both algebraic and topological closure properties. Though operator algebras are studied in this generality in ... acting on spaces of distributions), the term operator algebra is usually used in reference ...
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Projection operator
Projection operator See also projection (linear algebra). In mathematics, a projection operator P on a vector space is a ... image of the transformation. Intuitively, a projection operator "picks out" entries in a vector, for ... In an inner product space, such an operator is an orthogonal projection if and only if it is self-adjoint. In finite-dimensional inner product ...
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Multiplication operator
Multiplication operator In operator theory, a multiplication operator is a linear operator T defined on some vector space of ... operators. Multiplication operators generalize the notion of operator given by a diagonal matrix. Example ...
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