To save this word, you'll need to log in.

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

## Definition of *Banach algebra*

**:**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

Keep scrolling for more

#### Test Your Vocabulary

A More Exception(al) Quiz

- Which of the following words is not a synonym for ‘a young person’?

Can you spell these 10 commonly misspelled words?

TAKE THE QUIZ**Test Your Knowledge** - and learn some interesting things along the way.

Love words? Need even more definitions?

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

Merriam-Webster unabridgedWords at Play

Ask the Editors

Share

Banach algebraTime Traveler for

Banach algebra## The first known use of

Banach algebrawas in 1944See more words from the same year