- unbounded operator
- мат. неограниченный оператор
Большой англо-русский и русско-английский словарь. 2001.
Большой англо-русский и русско-английский словарь. 2001.
Operator theory — In mathematics, operator theory is the branch of functional analysis that focuses on bounded linear operators, but which includes closed operators and nonlinear operators. Operator theory also includes the study of algebras of operators. Contents … Wikipedia
μ operator — In computability theory, the μ operator, minimization operator, or unbounded search operator searches for the least natural number with a given property. Contents 1 Definition 2 Properties 3 Examples … Wikipedia
Self-adjoint operator — In mathematics, on a finite dimensional inner product space, a self adjoint operator is one that is its own adjoint, or, equivalently, one whose matrix is Hermitian, where a Hermitian matrix is one which is equal to its own conjugate transpose.… … Wikipedia
Affiliated operator — In mathematics, affiliated operators were introduced by Murray and von Neumann in the theory of von Neumann algebras as a technique for using unbounded operators to study modules generated by a single vector. Later Atiyah and Singer showed that… … Wikipedia
Bounded operator — In functional analysis, a branch of mathematics, a bounded linear operator is a linear transformation L between normed vector spaces X and Y for which the ratio of the norm of L(v) to that of v is bounded by the same number, over all non zero… … Wikipedia
Ornstein–Uhlenbeck operator — Not to be confused with Ornstein–Uhlenbeck process. In mathematics, the Ornstein–Uhlenbeck operator can be thought of as a generalization of the Laplace operator to an infinite dimensional setting. The Ornstein–Uhlenbeck operator plays a… … Wikipedia
Closed operator — In mathematics, specifically in functional analysis, closed linear operators are an important class of linear operators on Banach spaces. They are more general than bounded operators, and therefore not necessarily continuous, but they still… … Wikipedia
Μ operator — In computability theory, the μ operator, minimization operator, or unbounded search operator searches for the least natural number with a given property. Definition Suppose that R( y, x1 , . . ., xk ) is a fixed k+1 ary relation on the natural… … Wikipedia
Normal operator — In mathematics, especially functional analysis, a normal operator on a complex Hilbert space H (or equivalently in a C* algebra) is a continuous linear operator that commutes with its hermitian adjoint N*: Normal operators are important because… … Wikipedia
Densely defined operator — In mathematics specifically, in operator theory a densely defined operator is a type of partially defined function; in a topological sense, it is a linear operator that is defined almost everywhere . Densely defined operators often arise in… … Wikipedia
Densely-defined operator — In mathematics mdash; specifically, in operator theory mdash; a densely defined operator is a type of partially defined function; in a topological sense, it is a linear operator that is defined almost everywhere . Densely defined operators often… … Wikipedia