inverse-mapping theorem

inverse-mapping theorem

[¦in‚vərs ′map·iŋ ‚thir·əm]
(mathematics)
The theorem that the inverse of a linear, one-to one, continuous mapping between two Banach spaces or two Fréchet spaces is also continuous.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.