Encyclopedia of Operations Research and Management Science

2001 Edition
| Editors: Saul I. Gass, Carl M. Harris

Linear functional

Reference work entry
DOI: https://doi.org/10.1007/1-4020-0611-X_543

A linear functionalf (xv) is a real-valued function defined on an n-dimensional vector space such that, for every vector xv = αuv + β vv, f (xv) = fuv + β vv) = α f (uv) + βf (vv) for all n-dimensional vectors Uv and Vv and all scalars α and β.

Copyright information

© Kluwer Academic Publishers 2001

Authors and Affiliations

  1. 1.Robert H. Smith School of BusinessUniversity of MarylandCollege PartUSA
  2. 2.School of Information Technology & EngineeringGeorge Mason UniversityFairfaxUSA