- bounded spectrum
- мат.ограниченный спектр
English-Russian scientific dictionary. 2008.
bounded spectrum
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Spectrum (functional analysis) — In functional analysis, the concept of the spectrum of a bounded operator is a generalisation of the concept of eigenvalues for matrices. Specifically, a complex number λ is said to be in the spectrum of a bounded linear operator T if… … Wikipedia
Spectrum of a C*-algebra — The spectrum of a C* algebra or dual of a C* algebra A, denoted Â, is the set of unitary equivalence classes of irreducible * representations of A. A * representation π of A on a Hilbert space H is irreducible if, and only if, there is no closed… … Wikipedia
Spectrum (arena) — The Spectrum The Spectrum America s Showplace Broad Street … Wikipedia
spectrum — noun /ˈspektrəm,ˈspɛktrəm/ a) Specter, apparition. Current 3G technologies can send roughly 1 bit of data a one or a zero per second over each 1 Hz of spectrum that the operator owns. b) A range; a continuous, infinite, one dimensional set,… … Wiktionary
Decomposition of spectrum (functional analysis) — In mathematics, especially functional analysis, the spectrum of an operator generalizes the notion of eigenvalues. Given an operator, it is sometimes useful to break up the spectrum into various parts. This article discusses a few examples of… … Wikipedia
Essential spectrum — In mathematics, the essential spectrum of a bounded operator is a certain subset of its spectrum, defined by a condition of the type that says, roughly speaking, fails badly to be invertible .The essential spectrum of self adjoint operatorsIn… … Wikipedia
Continuous spectrum — The spectrum of a linear operator is commonly divided into three parts: point spectrum, continuous spectrum, and residual spectrum. If H is a topological vector space and is a linear map, the spectrum of A is the set of complex numbers λ such… … Wikipedia
Stability spectrum — In model theory, a branch of mathematical logic, a complete first order theory T is called stable in λ (an infinite cardinal number), if the Stone space of every model of T of size ≤ λ has itself size ≤ λ. T is called a stable theory if there is… … Wikipedia
Bloch spectrum — The Bloch spectrum is a concept in quantum mechanics.Let H be the one dimensional Schrödinger equation operator: H = frac{d^2}{dx^2} + U alpha,where Uα is a periodic function of period α . The Bloch spectrum [ An upper bound on the allowed bands… … Wikipedia
Hilbert space — For the Hilbert space filling curve, see Hilbert curve. Hilbert spaces can be used to study the harmonics of vibrating strings. The mathematical concept of a Hilbert space, named after David Hilbert, generalizes the notion of Euclidean space. It… … Wikipedia
Spectral theory of ordinary differential equations — In mathematics, the spectral theory of ordinary differential equations is concerned with the determination of the spectrum and eigenfunction expansion associated with a linear ordinary differential equation. In his dissertation Hermann Weyl… … Wikipedia
