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Journal of Function Spaces and Applications
Volume 2012 (2012), Article ID 393710, 5 pages
doi:10.1155/2012/393710
Research Article

-Algebras Generated by a System of Unilateral Weighted Shifts and Their Application

Beyaz Basak KOCA and Nazim SADIK

Department of Mathematics, Faculty of Science, Istanbul University, 34134 Istanbul, Turkey

Received 5 September 2012; Accepted 28 November 2012

Academic Editor: Lars Diening

Copyright © 2012 Beyaz Basak KOCA and Nazim SADIK. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. L. A. Coburn, “The C*-algebra generated by an isometry,” Bulletin of the American Mathematical Society, vol. 73, pp. 722–726, 1967. View at Publisher · View at Google Scholar
  2. L. A. Coburn, “The C*-algebra generated by an isometry. II,” Transactions of the American Mathematical Society, vol. 137, pp. 211–217, 1969.
  3. N. P. Jewell and A. R. Lubin, “Commuting weighted shifts and analytic function theory in several variables,” Journal of Operator Theory, vol. 1, no. 2, pp. 207–223, 1979. View at Zentralblatt MATH
  4. F. Ergezen and N. Sadik, “On some operator algebras generated by unilateral weighted shifts,” Publicationes Mathematicae Debrecen, vol. 76, no. 1-2, pp. 21–30, 2010. View at Zentralblatt MATH
  5. R. E. Curto and J. Yoon, “Jointly hyponormal pairs of commuting subnormal operators need not be jointly subnormal,” Transactions of the American Mathematical Society, vol. 358, no. 11, pp. 5139–5159, 2006. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  6. R. E. Curto and K. R. Yan, “The spectral picture of Reinhardt measures,” Journal of Functional Analysis, vol. 131, no. 2, pp. 279–301, 1995. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  7. N. M. Sadikov, “Toeplitz operators on the disc,” Izvestiya Akademii Nauk Azerbaĭdzhanskoĭ SSR. Seriya Fiziko-Tekhnicheskikh i Matematicheskikh Nauk, vol. 5, no. 4, pp. 8–12, 1984 (Russian).
  8. R. G. Douglas and R. Howe, “On the C∗-algebra of Toeplitz operators on the quarterplane,” Transactions of the American Mathematical Society, vol. 158, pp. 203–217, 1971.
  9. R. E. Curto and P. S. Muhly, “C*-algebras of multiplication operators on Bergman spaces,” Journal of Functional Analysis, vol. 64, no. 3, pp. 315–329, 1985. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  10. F. Ergezen, “On unilateral weighted shifts in noncommutative operator theory,” Topology and Its Applications, vol. 155, no. 17-18, pp. 1929–1934, 2008. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  11. N. M. Sadikov, “On a method of Z. I. Halilov,” Akademiya Nauk Azerbaĭdzhanskoĭ SSR. Doklady, vol. 37, no. 1, pp. 13–15, 1981 (Russian).