Lattices of invariant subspaces

Arveson, William

doi:10.1090/S0002-9904-1972-12977-X

Bulletin of the American Mathematical Society

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ISSN 1088-9485 (online) ISSN 0273-0979 (print)

The 2020 MCQ for Bulletin of the American Mathematical Society is 0.84.

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Lattices of invariant subspaces
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Bull. Amer. Math. Soc. 78 (1972), 515-519

References

Patrick Billingsley, Ergodic theory and information, John Wiley & Sons, Inc., New York-London-Sydney, 1965. MR 0192027
Garrett Birkhoff, Lattice Theory, Revised edition, American Mathematical Society Colloquium Publications, Vol. 25, American Mathematical Society, New York, N. Y., 1948. MR 0029876
P. R. Halmos, Ten problems in Hilbert space, Bull. Amer. Math. Soc. 76 (1970), 887–933. MR 270173, DOI 10.1090/S0002-9904-1970-12502-2
P. R. Halmos, Reflexive lattices of subspaces, J. London Math. Soc. (2) 4 (1971), 257–263. MR 288612, DOI 10.1112/jlms/s2-4.2.257
Richard V. Kadison and I. M. Singer, Triangular operator algebras. Fundamentals and hyperreducible theory, Amer. J. Math. 82 (1960), 227–259. MR 121675, DOI 10.2307/2372733
J. R. Ringrose, On some algebras of operators, Proc. London Math. Soc. (3) 15 (1965), 61–83. MR 171174, DOI 10.1112/plms/s3-15.1.61