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:
“Each structure and institution here was so primitive that you could at once refer it to its source; but our buildings commonly suggest neither their origin nor their purpose.”
—Henry David Thoreau (1817–1862)
“For tribal man space was the uncontrollable mystery. For technological man it is time that occupies the same role.”
—Marshall McLuhan (1911–1980)