Annihilators of Operator Algebras

作者: David R. Larson

DOI: 10.1007/978-3-0348-5445-0_10

关键词: Pure mathematicsMathematicsTrace classVon Neumann architectureInvariant subspaceStructure (category theory)Linear spanOperator algebraNest algebraPredual

摘要: The structure of the predual an ultraweakly closed operator algebra can be very revealing internal structural properties algebra. This relationship has been most important in theory von Neumann algebras, and recently become significant study more general algebras.

参考文章(5)
Erik Christensen, Extensions of derivations II. Mathematica Scandinavica. ,vol. 50, pp. 111- 122 ,(1982) , 10.7146/MATH.SCAND.A-11948
William Arveson, Interpolation problems in nest algebras Journal of Functional Analysis. ,vol. 20, pp. 208- 233 ,(1975) , 10.1016/0022-1236(75)90041-5
Erik Christensen, Extension of derivations Journal of Functional Analysis. ,vol. 27, pp. 234- 247 ,(1978) , 10.1016/0022-1236(78)90029-0
Michael Barr, Max-Albert Knus, EXTENSIONS OF DERIVATIONS Proceedings of the American Mathematical Society. ,vol. 28, pp. 313- 314 ,(1971) , 10.1090/S0002-9939-1971-0272829-6
E. Christopher Lance, Cohomology and Perturbations of Nest Algebras Proceedings of the London Mathematical Society. ,vol. s3-43, pp. 334- 356 ,(1981) , 10.1112/PLMS/S3-43.2.334