| 11. | Unital Banach algebras over the complex field provide a general setting to develop spectral theory.
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| 12. | BV ( \ Omega ) "'respect to each argument, making this function space a Banach algebra.
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| 13. | The quaternions are also an example of a composition algebra and of a unital Banach algebra.
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| 14. | The theory of real Banach algebras can be very different from the theory of complex Banach algebras.
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| 15. | The theory of real Banach algebras can be very different from the theory of complex Banach algebras.
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| 16. | C *-algebras, which are Banach algebras with some additional structure, play an important role in quantum mechanics.
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| 17. | If is a compact Hausdorff space, then the maximal ideal space of the Banach algebra is homeomorphic to.
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| 18. | Much of the foregoing discussion can be set in the more general context of a complex Banach algebra.
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| 19. | There are a number of other fields, such as Banach algebra theory, that draw on several complex variables.
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| 20. | In every Banach algebra with multiplicative identity, the set of invertible elements forms a topological group under multiplication.
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