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

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

to indicate the multiplication of two terms without a visible multiplication operator, e.g. when type-setting 2x (the multiplication of the number 2 and...

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...

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...

}\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...

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....

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...

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...

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

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

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

of the composition operator. Carleman matrix Carleman linearization Composition ring – Algebraic structure Multiplication operator – Concept in mathematics...

{\displaystyle {\mathcal {F}}T^{t}=M^{t}{\mathcal {F}},} where M t is the multiplication operator by exp(itx). Therefore, the spectrum of T t is the unit circle...

the matrix‑multiplication operator @ . These operators work as in traditional mathematics; with the same precedence rules, the infix operators + and - can...

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

In Python 3.5 and up, it is also used as an overloadable matrix multiplication operator. In R and S-PLUS, it is used to extract slots from S4 objects....

function defined on the graph. Note that P can be considered to be a multiplicative operator acting diagonally on ϕ {\displaystyle \phi } ( P ϕ ) ( v ) = P...

In operator theory, a Toeplitz operator is the compression of a multiplication operator on the circle to the Hardy space. Let S 1 {\displaystyle S^{1}}...

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...

an operator is also in C. Note that C does not support operator overloading. When not overloaded, for the operators &&, ||, and , (the comma operator),...

quasigroup can be treated as conditions on the left and right multiplication operators Lx, Rx : Q → Q, defined by Lx(y) = xy Rx(y) = yx The definition...

flexible. Similarly, a nonassociative algebra is flexible if its multiplication operator is flexible. Every commutative or associative operation is flexible...

\mapsto \mathrm {e} ^{\mathrm {i} nt},\quad n\geq 0,\,} is the multiplication operator Mφ with the function φ = e 1 {\displaystyle \varphi =e_{1}} . More...

field with a decomposition into "even" and "odd" pieces and a multiplication operator that respects the grading. The prefix super- comes from the theory...

are precisely the characters of T. Each convolution is a compact multiplication operator in this basis. This can be viewed as a version of the convolution...

Every finite rank operator is compact. For ℓ p {\displaystyle \ell ^{p}} and a sequence (tn) converging to zero, the multiplication operator (Tx)n = tn xn...