×

The selfadjoint operators of a von Neumann algebra form a conditionally complete lattice. (English) Zbl 0215.20504


MSC:

46L10 General theory of von Neumann algebras
PDFBibTeX XMLCite
Full Text: DOI

References:

[1] Richard V. Kadison, Order properties of bounded self-adjoint operators, Proc. Amer. Math. Soc. 2 (1951), 505 – 510. · Zbl 0043.11501
[2] B. A. Lengyel and M. H. Stone, Elementary proof of the spectral theorem, Ann. of Math. (2) 37 (1936), no. 4, 853 – 864. · Zbl 0016.03001 · doi:10.2307/1968623
[3] S. Sherman, Order in operator algebras, Amer. J. Math. 73 (1951), 227 – 232. · Zbl 0042.35001 · doi:10.2307/2372173
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.