ON A FRIEDRICHS EXTENSION RELATED TO UNBOUNDED SUBNORMALS-II
Glasgow mathematical journal, Tome 50 (2008) no. 1, pp. 97-109

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We study the Friedrichs extensions of unbounded cyclic subnormals. The main result of the present paper is the identification of the Friedrichs extensions of certain cyclic subnormals with their closures. This generalizes as well as complements the main result obtained in [5]. Such characterizations lead to abstract Galerkin approximations, generalized wave equations, and bounded -functional calculi.
DOI : 10.1017/S0017089507003941
Mots-clés : Primary 41A65, 47B20, Secondary 35K90, 41A10, 47A07, 47B32
CHAVAN, SAMEER. ON A FRIEDRICHS EXTENSION RELATED TO UNBOUNDED SUBNORMALS-II. Glasgow mathematical journal, Tome 50 (2008) no. 1, pp. 97-109. doi: 10.1017/S0017089507003941
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[1] 1.Aronszajn, N., Theory of reproducing kernels, Trans. Amer. Math. Soc. 68 (1950), 337–404. Google Scholar

[2] 2.Athavale, A. and Chavan, S., Sectorial forms and unbounded subnormals, Math. Proc. Cambridge Phil. Soc., to appear. Google Scholar

[3] 3.Conway, J., The theory of subnormal operators, Mathematical Surveys and Monographs, Vol. 36 (Amer. Math. Soc., Providence, 1991). Google Scholar

[4] 4.Chavan, S., Sectorial forms and unbounded subnormals, Ph.D Dissertation, University of Pune, 2006. Google Scholar

[5] 5.Chavan, S. and Athavale, A., On a Friedrichs extension related to unbounded subnormals, Glasgow Math. J. 48 (2006), 19–28. Google Scholar | DOI

[6] 6.Edmonds, D. E. and Evans, W. D., Spectral Theory and Differential Operators, Oxford Science Publications, Clarendon Press, Oxford, 1987. Google Scholar

[7] 7.Markus, Hasse, The functional calculus for sectorial operators, Operator Theory Advances and Applications Vol.169 (Birkhd. a user, 2006). Google Scholar

[8] 8.Kato, T., Perturbation, Theory for Linear Operators, Springer-Verlag, New York, 1984. Google Scholar

[9] 9.Miklavčič, M., Applied functional analysis and partial differential equations (World Scientific, Singapore, 1998). Google Scholar | DOI

[10] 10.Stochel, J. and Szafraniec, F., On normal extensions of unbounded operators. I, J. Operator Theory 14 (1985), 31–55. Google Scholar

[11] 11.Stochel, J. and Szafraniec, F., On normal extensions of unbounded operators II, Acta Sci. Math. (Szeged) 53 (1989), 153–177. Google Scholar

[12] 12.Stochel, J. and Szafraniec, F., On normal extensions of unbounded operators III, Spectral properties, Publ. RIMS, Kyoto Univ. 25 (1989), 105–139. Google Scholar

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