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 structure and/or space:
“Just as a new scientific discovery manifests something that was already latent in the order of nature, and at the same time is logically related to the total structure of the existing science, so the new poem manifests something that was already latent in the order of words.”
—Northrop Frye (b. 1912)
“And Space with gaunt grey eyes and her brother Time
Wheeling and whispering come,”
—James Elroy Flecker (1884–1919)