Banach algebra

noun Ba·nach algebra \ˈbä-ˌnäk-, -nək-, -ˌnäḵ-, -nəḵ-\

Definition of Banach algebra

  1. :  a linear algebra over the field of real or complex numbers that is also a Banach space for which the norm of the product of x and y is less than or equal to the product of the norm of x and the norm of y for all x and y belonging to it

There's more!

Love words? You must — there are over 200,000 words in our free online dictionary, but you are looking for one that’s only in the Merriam-Webster Unabridged Dictionary.

Start your free trial today and get unlimited access to America's largest dictionary, with:

  • More than 250,000 words that aren't in our free dictionary
  • Expanded definitions, etymologies, and usage notes
  • Advanced search features
  • Ad free!
Already a subscriber? Log in.

Origin and Etymology of banach algebra

after Stefan Banach †1945 Polish mathematician


Seen and Heard

What made you want to look up Banach algebra? Please tell us where you read or heard it (including the quote, if possible).

Love words? Need even more definitions?

Subscribe to America's largest dictionary and get thousands more definitions and advanced search—ad free!

WORD OF THE DAY

an incorrigible rascal

Get Word of the Day daily email!

Love words? Need even more definitions?

Subscribe to America's largest dictionary and get thousands more definitions and advanced search—ad free!