Trace Formula for Partial Isometry Case
Muneo CHŌ and Tadasi HURUYA
Source: Tokyo J. of Math. Volume 32, Number 1 (2009), 27-32.
Abstract
Let $T = U|T|$ be the polar decomposition of $T$. For a semi-hyponormal operator $T=U|T|$ with partial isometry $U$, if $|T| - |T^*| \in \mathcal{C}$, then we give the trace formula for the polar decomposition of $T$.
Primary Subjects: 47B20
Secondary Subjects: 47A10
Full-text: Access denied (no subscription detected)
We're sorry, but we are unable to provide you with the full text of this article because we are not able to identify you as a subscriber.
If you have a personal subscription to this journal, then please login. If you are already logged in, then you may need to update your profile to register your subscription. Read more about accessing full-text
Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.tjm/1249648407
Digital Object Identifier: doi:10.3836/tjm/1249648407
Mathematical Reviews number (MathSciNet):
MR2541152
References
R. W. Carey and J. D. Pincus, Almost commuting algebras, Lecture Notes in Math. 574, Springer-Verlag, Berlin, 1973, 19--43.
Mathematical Reviews (MathSciNet):
MR512491
R. W. Carey and J. D. Pincus, Mosaics, principal functions, and mean motion in von-Neumann algebras, Acta Math., 138 (1977), 153--218.
Mathematical Reviews (MathSciNet):
MR435901
Zentralblatt MATH:
0364.46048
Digital Object Identifier: doi:10.1007/BF02392315
M. Chō and T. Huruya, $p$-hyponormal operators for $0<p<1/2$, Comment. Math., 33 (1993), 23--29.
Mathematical Reviews (MathSciNet):
MR1269396
M. Chō and T. Huruya, Trace formulae of $p$-hyponormal operators, Studia Math., 161 (2004), 1--18.
Mathematical Reviews (MathSciNet):
MR2033405
Zentralblatt MATH:
1065.47022
Digital Object Identifier: doi:10.4064/sm161-1-1
M. Chō, T. Huruya and C. Li, Trace formulae associated with the polar decomposition of operators, Math. Proc. Royal Irish Acad., 105 (2005), 57--69.
Mathematical Reviews (MathSciNet):
MR2164588
Zentralblatt MATH:
1124.47014
M. Chō, T. Huruya, A. H. Kim and C. Li, Principal functions for high powers of operators, Tokyo J. Math., 29 (2006), 111--116.
Mathematical Reviews (MathSciNet):
MR2258275
Zentralblatt MATH:
1120.47016
Digital Object Identifier: doi:10.3836/tjm/1166661870
Project Euclid: euclid.tjm/1166661870
K. F. Clancey, Seminormal operators, Lecture Notes in Math. 742, Springer-Verlag, Berlin-Heidelberg-New York, 1979.
Mathematical Reviews (MathSciNet):
MR548170
J. W. Helton and R. Howe, Integral operators, commutator traces, index and homology, Proceedings of a conference on operator theory, Lecture Notes in Math. 345, Springer-Verlag, Berlin-Heidelberg-New York, 1973.
Mathematical Reviews (MathSciNet):
MR390829
M. Martin and M. Putinar, Lectures on hyponormal operators, Birkhäuser Verlag, Basel, 1989.
Mathematical Reviews (MathSciNet):
MR1028066
Zentralblatt MATH:
0684.47018
D. Xia, Spectral theory of hyponormal operators, Birkhäuser Verlag, Basel, 1983.
Mathematical Reviews (MathSciNet):
MR806959
Zentralblatt MATH:
0523.47012
2009 © Publication Committee for the Tokyo Journal of Mathematics
Tokyo Journal of Mathematics
