banach algebra การใช้

• Any unital normed algebra with this property is called a Banach algebra.
• So, the notion is more interesting for non-unital rings such as Banach algebras.
• In fact, \ scriptstyle W _ p is a quasi-Banach algebra.
• Rickart did research on Banach algebras and was the author of three books.
• Thus the Wiener algebra is a commutative unitary Banach algebra.
• The further theory built on this to include Banach algebras, which can be given abstractly.
• See for example normed division algebras and Banach algebras.
• Hypercomplex analysis on Banach algebras is called functional analysis.
• Not every unital commutative Banach algebra is of the form for some compact Hausdorff space.
• Also, is isomorphic to the Banach algebra, with the isomorphism given by the Fourier transform.
• Unital Banach algebras over the complex field provide a general setting to develop spectral theory.
• BV ( \ Omega ) "'respect to each argument, making this function space a Banach algebra.
• The quaternions are also an example of a composition algebra and of a unital Banach algebra.
• The theory of real Banach algebras can be very different from the theory of complex Banach algebras.
• The theory of real Banach algebras can be very different from the theory of complex Banach algebras.
• C *-algebras, which are Banach algebras with some additional structure, play an important role in quantum mechanics.
• If is a compact Hausdorff space, then the maximal ideal space of the Banach algebra is homeomorphic to.
• Much of the foregoing discussion can be set in the more general context of a complex Banach algebra.
• There are a number of other fields, such as Banach algebra theory, that draw on several complex variables.
• In every Banach algebra with multiplicative identity, the set of invertible elements forms a topological group under multiplication.