# bounded linear transformation

## bounded linear transformation

[¦bau̇n·dəd ¦lin·ē·ər tranz·fər′mā·shən] (mathematics)

A linear transformation

*T*for which there is some positive number*A*such that the norm of*T*(*x*) is equal to or less than*A*times the norm of*x*for each*x*.McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.

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