Log in

www.springer.com The European Mathematical Society

Tools

View source for Defining operator

← Defining operator

Jump to: navigation, search

You do not have permission to edit this page, for the following reasons:

The action you have requested is limited to users in the group: Users.
You must confirm your email address before editing pages. Please set and validate your email address through your user preferences.

You can view and copy the source of this page.

{{TEX|done}}
''for a sequence $x=\{x_p\}$''

An operator $M$ in a space of sequences having the form

$$(Mx)_p=\sum_{-l}^{+l}m_jx_{p-j};$$

$$m_j=\overline{m_{-j}},\quad\sum_{-l}^{+l}m_j\lambda^j\leq0,\quad|\lambda|=1;$$

converting the sequence $x$ to some [[Positive sequence|positive sequence]].

Template used on this page:

Template:TEX (view source)

Return to Defining operator.

How to Cite This Entry:
Defining operator. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Defining_operator&oldid=34485

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

Retrieved from "https://encyclopediaofmath.org/wiki/Defining_operator"