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Multiplication operator
Multiplication operator In operator theory, a multiplication operator is a linear operator T defined ...
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Operator
Operator This article is about operators in mathematics, for other kinds of operators see operator (disambiguation). In mathematics, an operator is a function that performs some sort ... on another function. For instance the D operator, when placed before a differentiable function f ... abstraction To begin with, the usage of operator in mathematics is subsumed in the ...
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Bilinear operator
Bilinear operator In mathematics, a bilinear operator is a generalized "multiplication" which satisfies the distributive law. Definition For ... the same base field F, a bilinear operator is a function B : V W ... B(v, w) is a linear operator from V to X, and for ...
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Local operator (translated from German)
Local operator That Local operator the mathematical object is, in that Quantenmechanik ... this area represented. That is special Local operator the summary of the three Observablen |
Self-adjoint operator
Self-adjoint operator On a finite-dimensional inner product space, a self-adjoint operator is one that is its own adjoint ... have an orthonormal basis in which the operator can be represented as a diagonal matrix ... operators. Symmetric operators A partially defined linear operator A on a Hilbert space H is ... Hellinger-Toeplitz theorem, a symmetric everywhere defined operator is bounded. Bounded symmetric operators are ...
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Shift operator
Shift operator In mathematics, and in particular functional analysis ... varieties. (There is another usage of shift operator as a translation operator: see for example Sheffer sequence.) A typical one-sided shift operator takes an infinite sequence of numbers (a ... this representation is then that the shift operator becomes multiplication by T: this reveals ...
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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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Bounded operator
Bounded operator In functional analysis (a branch of mathematics), a bounded linear operator is a linear transformation L between normed ... The smallest such M is called the operator norm of L. A bounded linear operator is not necessarily a bounded function; the ... for all v. Rather, a bounded linear operator is a locally bounded function. A ...
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Hyper operator
Hyper operator The hyper operators forming the hypern family ... what's next in this sequence: summation (+), multiplication (), exponentiation (^),…?" Noting that recursively define an infix triadic operator (making n=0 correspond to the successor ...
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Unitary operator
Unitary operator In functional analysis, a unitary operator is a bounded linear operator on a Hilbert space ... and is the identity operator. This property is equivalent to any of ... rangle. Unitary operators implement isomorphisms between operator algebras. Examples The identity function is ...
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