Toeplitz form, indefinite
From Encyclopedia of Mathematics
A quadratic form, defined on the space of infinite sequences
of finite support by the expression
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where the sequence ,
, is such that, from some dimension
onwards, the form
reduces to canonical form as a sum of
squares on each subspace
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An indefinite scalar product may be introduced in by means of the Toeplitz form; after factorization over the isotropic subspace and completion,
becomes a Pontryagin space.
How to Cite This Entry:
Toeplitz form, indefinite. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Toeplitz_form,_indefinite&oldid=48981
Toeplitz form, indefinite. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Toeplitz_form,_indefinite&oldid=48981
This article was adapted from an original article by N.K. Nikol'skiiB.S. Pavlov (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article