Toeplitz form, indefinite
From Encyclopedia of Mathematics
A quadratic form, defined on the space 
of infinite sequences 
of finite support by the expression
 |
where the sequence 
, 
, is such that, from some dimension 
onwards, the form 
reduces to canonical form as a sum of 
squares on each subspace
 |
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