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:
“When a house is tottering to its fall,
The strain lies heaviest on the weakest part,
One tiny crack throughout the structure spreads,
And its own weight soon brings it toppling down.”
—Ovid (Publius Ovidius Naso)
“As photographs give people an imaginary possession of a past that is unreal, they also help people to take possession of space in which they are insecure.”
—Susan Sontag (b. 1933)