Functional Identities (Paperback, 2007 ed.)

A functional identity (FI) can be informally described as an identical relation involving(arbitrary)elementsinaringtogetherwith( unknown )functions;more precisely, elementsaremultipliedbyvaluesoffunctions.ThegoalofthegeneralFI theory is to determine the form of these functions, or, when this is not possible, to determine the structure of the ring admitting the FI in question. This theory has turnedouttobeapowerfultoolfor solvingavarietyofproblemsindi?erentareas. It is not always easy to recognize that the problem in question can be interpreted through some FI; often this is the most intriguing part of the process. But once one succeeds in discovering an FI that ?ts into the general theory, this abstract theory then as a rule yields the desired conclusions at a high level of generality. Among classical algebraic concepts, the one of a polynomial identity (PI) seems to be, at least on the surface, the closest one to the concept of an FI. In fact, a PI is formally just a very special example of an FI (where functions are polynomials).However, the theoryof PI shasquite di?erent goalsthan the theory of FI s. One could say, especially from the point of view of applications, that the twotheoriesarecomplementaryto eachother.Under somenaturalrestrictions, PI theorydealswithringsthatareclosetoalgebrasoflowdimensions, whileFItheory gives de?nitive answers in algebras of su?ciently large or in?nite dimensions."

General

Imprint:	Birkhauser Verlag AG
Country of origin:	Switzerland
Series:	Frontiers in Mathematics
Release date:	June 2007
First published:	2007
Authors:	Matej Bresar • Mikhail A. Chebotar • Wallace S. Martindale
Dimensions:	244 x 170 x 15mm (L x W x T)
Format:	Paperback
Pages:	272
Edition:	2007 ed.
ISBN-13:	978-3-7643-7795-3
Categories:	Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Functional analysis
LSN:	3-7643-7795-X
Barcode:	9783764377953

Is the information for this product incomplete, wrong or inappropriate? Let us know about it.

Does this product have an incorrect or missing image? Send us a new image.

Is this product missing categories? Add more categories.

Review This Product

No reviews yet - be the first to create one!