163
Views
2
CrossRef citations to date
0
Altmetric
Original Articles

Some properties of semifinite tracial subalgebras

&
Pages 1190-1197 | Received 09 Nov 2017, Accepted 14 Feb 2018, Published online: 14 Mar 2018

References

  • Arveson WB . Analyticity in operator algebras. Am J Math. 1967;89:578–642.
  • Blecher DP , Labuschagne LE . Characterization of noncommutaive ℋ∞ . Integr Equ Oper Theory. 2006;56:301–321.
  • Blecher DP , Labuschagne LE . Logmodularity and isometries of operator algebras. Trans Am Math Soc. 2003;355:1621–1646.
  • Blecher DP , Labuschagne LE . Applications of Fuglede-Kadison determinant: Szegö’s theorem and outers for noncommutative Hp . Trans Am Math Soc. 2008;360:6131–6147.
  • Bekjan TN . Characterization of subdiagonal algebras. Proc Am Math Soc. 2011;139:1121–1126.
  • Bekjan TN , Ospanov KN . Factorization properties of subdiagonal algebras. Funktsional Anal i Prilozhen. 2016;50(2):77–81; English transl. in Functional Anal Appl. 2016;50(2):146--149.
  • Bekjan TN , Oshanova A . Semifinite tracial subalgebras. Ann Funct Anal. 2017;8(4):473–478.
  • Fack T , Kosaki H . Generalized s-numbers of 𝜏-measurable operators. Pac J Math. 1986;123:269–300.
  • Pisier G , Xu Q . Noncommutative Lp -spaces. Handb Geom Banach Spaces. 2003;2:1459–1517.
  • Ji G . Maximality of semifinite subdiagonal algebras. J Shaanxi Normal Univ. (Nat Sci Edition). 2000;28(1):15–17.
  • Sakai S . C*-algebras and W*-algebras. New York (NY): Springer-Verlag; 1971.
  • Fack T . Sur la notion de valeur charactéristique. J Oper Theory. 1982;7:307–333.
  • Fack T . Proof of the conjecture of A. Grothendieck on the Fuglede-Kadison determinant. J Funct Anal. 1983;50:215–228.
  • Fuglede B , Kadison RV . Determinant theory in finite factors. Ann Math. 1952;55:520–530.
  • Bekjan TN . Noncommutative Hardy space associated with semi-finite subdiagonal algebras. J Math Anal Appl. 2015;429:1347–1369.
  • Junge M . Doob’s inequality for noncommutative martingales. J Reine Angew Math. 2002;549:149–190.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.