|
A spectral exclusion principle for unbounded subnormals
Author(s):
Sameer
Chavan
Journal:
Proc. Amer. Math. Soc.
137
(2009),
211-218.
MSC (2000):
Primary 47A60, 47B20;
Secondary 41A10
Posted:
April 25, 2008
MathSciNet review:
2439443
Retrieve article in:
PDF
Abstract |
References |
Similar articles |
Additional information
Abstract:
We establish a Spectral Exclusion Principle for unbounded subnormals. As an application, we obtain some polynomial approximation results in the functional model spaces.
References:
-
- 1.
- N. Aronszajn, Theory of reproducing kernels, Trans. Amer. Math. Soc. 68 (1950), 337-404. MR 0051437 (14:479c)
- 2.
- S. Chavan, On a Friedrichs extension related to unbounded subnormals. II, Glasgow Math. J. 50 (2008), 97-109.
- 3.
- S. Chavan and A. Athavale, On a Friedrichs extension related to unbounded subnormals. I, Glasgow Math. J. 48 (2006), 19-28. MR 2224923 (2007b:47049)
- 4.
- M. Haase, The Functional Calculus for Sectorial Operators, Operator Theory: Advances and Applications, Vol. 169, Birkhäuser, 2006. MR 2244037 (2007j:47030)
- 5.
- M. Miklavčič, Applied Functional Analysis and Partial Differential Equations, World Scientific, River Edge, NJ, 1998. MR 1784426 (2001k:47001)
- 6.
- J. Stochel and F. Szafraniec, On normal extensions of unbounded operators. II, Acta Sci. Math. (Szeged) 53 (1989), 153-177. MR 1018684 (91i:47032)
- 7.
- J. Stochel and F. Szafraniec, On normal extensions of unbounded operators. III, Spectral properties, Publ. RIMS, Kyoto Univ. 25 (1989), 105-139. MR 999353 (91i:47033)
Similar Articles:
Retrieve articles in Proceedings of the American Mathematical
Society
with
MSC (2000):
47A60, 47B20,
41A10
Retrieve articles in all Journals with
MSC (2000):
47A60, 47B20,
41A10
Additional Information:
Sameer
Chavan
Affiliation:
Indian Institute of Science Education and Research Pune, Pune-411008, India
Address at time of publication:
Harish-Chandra Research Institute, Chhatnag Road, Jhusi, Allahabad, 211019 India
Email:
sl.chavan@iiserpune.ac.in, chavansameer@hri.res.in
DOI:
10.1090/S0002-9939-08-09488-4
PII:
S 0002-9939(08)09488-4
Keywords:
Unbounded subnormal,
$H^{\infty }$ functional calculus
Received by editor(s):
April 26, 2007,
Received by editor(s) in revised form:
December 23, 2007
Posted:
April 25, 2008
Communicated by:
N. Tomczak-Jaegermann
Copyright of article:
Copyright
2008,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
|
