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In operator theory, a multiplication operator is an operator Tf defined on some vector space of functions and whose value at a function φ is given by...

⊗) U+22C5 ⋅ DOT OPERATOR (⋅) U+2715 ✕ MULTIPLICATION X U+2716 ✖ HEAVY MULTIPLICATION X U+2A09 ⨉ N-ARY TIMES OPERATOR U+2A2F ⨯ VECTOR OR CROSS...

operations referring to the graphical shapes of the taught operator signs U+00B7 · MIDDLE DOT (multiplication), U+2236 ∶ RATIO (division), and U+002B + PLUS SIGN...

spectral theorem identifies a class of linear operators that can be modeled by multiplication operators, which are as simple as one can hope to find....

of the operator is simply multiplication by p, i.e. it is a multiplication operator, just as the position operator is a multiplication operator in the...

mathematics that studies numerical operations like addition, subtraction, multiplication, and division. In a wider sense, it also includes exponentiation, extraction...

case. That is to say, operators are self-adjoint if and only if they are unitarily equivalent to real-valued multiplication operators. With suitable modifications...

Multiplication (often denoted by the cross symbol ×, by the mid-line dot operator ⋅, by juxtaposition, or, on computers, by an asterisk *) is one of the...

}\right\|_{\infty }=\sup _{n}\left|s_{n}\right|.} Define an operator T s {\displaystyle T_{s}} by pointwise multiplication: ( a n ) n = 1 ∞ ↦ T s   ( s n ⋅ a n ) n = 1...

broadcasting operator . which can apply any function element-wise. This includes both binary operators (such as the aforementioned multiplication and exponentiation...

mathematics, an operator algebra is an algebra of continuous linear operators on a topological vector space, with the multiplication given by the composition...

in the heat equation. Especially easy are multiplication operators, which are defined as multiplication by (the values of) a fixed function–the values...

bounded multiplication operator Th on Lp(μ): ( T h f ) ( s ) = h ( s ) ⋅ f ( s ) . {\displaystyle (T_{h}f)(s)=h(s)\cdot f(s).} The operator norm of T...

spectral theorem identifies a class of linear operators that can be modelled by multiplication operators, which are as simple as one can hope to find....

arithmetic modulo operator that is machine-independent. For examples and exceptions, see the Perl documentation on multiplicative operators. Weisstein, Eric...

complex numbers, multiplication by a number of absolute value 1, that is, a number of the form eiθ for θ ∈ R, is a unitary operator. θ is referred to...

successor of b. Analogously, given that addition has been defined, a multiplication operator × {\displaystyle \times } can be defined via a × 0 = 0 and a ×...

addition and multiplication such that the ring is an abelian group with respect to the addition operator, and the multiplication operator is associative...

and a matrix‑multiplication operator @ . These operators work like in traditional math; with the same precedence rules, the operators infix (+ and -...

of operators with operands. ( 3 + 5 ) × 2 {\displaystyle (3+5)\times 2} In the above expression '(3 + 5)' is the first operand for the multiplication operator...