Banach algebra cohomology
- Banach algebra cohomology
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In mathematics, Banach algebra cohomology of a Banach algebra with coefficients in a bimodule is defined in a similar way to Hochschild cohomology of an abstract algebra, except that one takes the topology into account so that all cohains and so on are continuous.
References
- Johnson, Barry Edward (1972), Cohomology in Banach algebras, Memoirs of the American Mathematical Society, 127, Providence, R.I.: American Mathematical Society, ISBN 978-0-8218-1827-5, MR0374934, http://books.google.com/books?id=WgYuKl1Y340C
- Helemskii, Alexander Ya. (1989) [1986], The homology of Banach and topological algebras, Mathematics and its Applications (Soviet Series), 41, Dordrecht: Kluwer Academic Publishers Group, ISBN 978-0-7923-0217-9, MR1093462, http://books.google.com/books?id=0897Z7xv_ksC
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