Abstract
We will describe some recent results on bimodules of nest algebras and we will propose some related questions.
Keywords
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Andersen, N. T., Compact perturbations of reflexive algebras, J. Funct. Anal. 38 (1980), 366–400.
Andersen, N. T., Similarity of continuous nests, Bull. London Math. Soc. 15 (1983), 131–132.
Dai, X., Norm-closed bimodules of nest algebras, Ph.D thesis, Texas A&M University, 1990
Dai, X., Norm-principal bimodules of nest algebras, Journal of Functional Analysis, Vol. 90, No 2, (May 1990), 369–390.
Dai, X., On the generators of bimodules of nest algebras, Jour. Operator Theory, to appear.
Dai, X., Jacobson radicals of nest subalgebras in factors, Proc. AMS, to appear.
Dai, X., Norm-principal bimodules of nest algebras II, preprint.
Davidson, K. R., Similarity and compact perturbations of nest algebras, J. Reine Agnew. Math. 348 (1984), 72–87.
Davidson, K. R., Nest Algebras, Pitman Research Notes in Mathematics Series 191 (1988).
Erdos, J. A. and S. C. Power, Weakly closed ideals of nest algebras, J. Operator Theory 7 (1982), 219–235.
Gilfeather, F. and Larson, D., Nest-subalgebras of von Neumann algebras, Advances in Mathematics, Vol. 46, No. 2, November 1982, 171–199.
Hopenwasser, A., Hypercausal ideals in nest algebras, J. London Math. Soc, 34(2) (1986) 129–138.
Larson, D. R., Nest algebras and similarity transformations, Ann. Math. 121 (1985), 409–427.
Larson, D. R., A solution to a problem of J. R. Ringrose, Bull. (New Series) A.M.S. 7 (1982), 243–246.
Orr, J. L., On generators of the radical of a nest algebra, Proc. London Math. Soc.
Pitts, D. R., Factorization problems for nests: Factorization methods and characterizations of the universal factorization property, Journal of Functional Analysis, 79 (1988) 57–90.
Power, S. C, Analysis in nest algebras, Pitman Research Notes in Mathematics Series 192 (1988), 189–234.
Ringrose, J. R., On some algebras of operators, Proc. London Math. Soc. (3) 15 (1965), 61–93.
Ringrose, J. R., On some algebras of operators II, Proc. London Math. Soc. (3) 16 (1966), 385–402.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1994 Springer Science+Business Media New York
About this paper
Cite this paper
Dai, X. (1994). Questions on Bimodules of Nest Algebras. In: Curto, R.E., Jørgensen, P.E.T. (eds) Algebraic Methods in Operator Theory. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-0255-4_7
Download citation
DOI: https://doi.org/10.1007/978-1-4612-0255-4_7
Publisher Name: Birkhäuser, Boston, MA
Print ISBN: 978-1-4612-6683-9
Online ISBN: 978-1-4612-0255-4
eBook Packages: Springer Book Archive