In mathematics, the **structure space** of a commutative Banach algebra is an analog of the spectrum of a C*-algebra. It consists of all multiplicative linear functionals on the algebra. The Gelfand representation of the Banach algebra is a map taking the Banach algebra elements to continuous functions on the structure space.

### Famous quotes containing the words space and/or structure:

“The flattering, if arbitrary, label, First Lady of the Theatre, takes its toll. The demands are great, not only in energy but eventually in dramatic focus. It is difficult, if not impossible, for a star to occupy an inch of *space* without bursting seams, cramping everyone else’s style and unbalancing a play. No matter how self-effacing a famous player may be, he makes an entrance as a casual neighbor and the audience interest shifts to the house next door.”

—Helen Hayes (1900–1993)

“A *structure* becomes architectural, and not sculptural, when its elements no longer have their justification in nature.”

—Guillaume Apollinaire (1880–1918)