Riesz sequence


A sequence of vectors (xn) in a Hilbert spaceMathworldPlanetmath H is called a Riesz sequence if there exist constants 0<cC such that


for all sequences of scalars (an)l2. A Riesz sequence is called a Riesz basis if span(xn)¯=H.

If H is a finite-dimensional space, then every basis of H is a Riesz basis.

Title Riesz sequence
Canonical name RieszSequence
Date of creation 2013-03-22 14:26:53
Last modified on 2013-03-22 14:26:53
Owner swiftset (1337)
Last modified by swiftset (1337)
Numerical id 7
Author swiftset (1337)
Entry type Definition
Classification msc 46C05
Related topic OrthonormalBasis
Related topic HilbertSpace
Related topic Frame2
Related topic AnEquivalentConditionForTheTranslatesOfAnL_2FunctionToFormARieszBasis
Defines Riesz basis