NationMaster - Encyclopedia: Multiplication operator

In operator theory, a multiplication operator is a linear operator T defined on some vector space of functions and whose value at a function φ is given by multiplication by a fixed function f. These are often contrasted with composition operators. Multiplication operators generalize the notion of operator given by a diagonal matrix.

See also: translation operator, shift operator.

Categories: Functional analysis | Stub

Results from FactBites:

PlanetMath: operator norm of multiplication operator on $L^2$ (150 words)
	PlanetMath: operator norm of multiplication operator on $L^2$
	is essentially unbounded, the multiplication operator is unbounded.
	On the other hand, the operator norm bounds by the essential supremum of the absolute value.

PlanetMath: multiplication operator on $L^2$ (53 words)
	It plays an important role in quantum mechanics where the multiplication with the coordinates on
	Cross-references: operator, coordinates, multiplication, subspace, measurable function, measure space
	This is version 5 of multiplication operator on

More results at FactBites »

COMMENTARY

Share your thoughts, questions and commentary here

Want to know more?
Search encyclopedia, statistics and forums:

Feeds | Contact
The Wikipedia article included on this page is licensed under the GFDL.
Images may be subject to relevant owners' copyright.
All other elements are (c) copyright NationMaster.com 2003-5. All Rights Reserved.
Usage implies agreement with terms.