Dual piecewise analytic bundle shift models of linear operators

Journal of Functional Analysis

Volumn 136, Issue 2, 1996, Pages 294-330

  Yakubovich, D V ^a,b  

^a UNIVERSIDAD AUTÓNOMA DE MADRID   (Spain)

^b ST PETERSBURG STATE UNIVERSITY   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030584564     PISSN: 00221236     EISSN: None     Source Type: Journal    
DOI: 10.1006/jfan.1996.0032     Document Type: Article

References (30)

1. 1. M. B. ABRAHAMSE AND R. G. DOUGLAS, A class of subnormal operators related to multiply connected domains, Adv. in Math. 19, No. 1 (1976), 106-148.
2. 2. K. F. CLANCEY, A kernel for operators with one-dimensional self-commutator, Integral Equations Operator Theory 7 (1984), 441-458.
3. 3. D. N. CLARK, On a similarity theory for rational Toeplitz operators, J. Reine Angew. Math. 320 (1980), 6-31.
4. 4. C. C. COWEN, The commutant of an analytic Toeplitz operator, Trans. Amer. Math. Soc. 239 (1978), 1-31.
5. 5. M. J. COWEN AND R. G. DOUGLAS, Complex geometry and operator theory, Acta Math. 141 (1978), 187-261.
6. p-Spaces," Academic Press, New York, 1970.
7. 7. A. GROTHENDIECK, Sur certains espaces fonctions holomorphes I, II, J. Reine Angew. Math. 192 (1953), 35-64, 77-95.
8. 8. G. M. HENKIN AND J. LEITERER, "Theory of Functions on Complex Manifolds," Birkhäuser, Basel, 1984.
9. 9. D. HERRERO, On multicyclic operators, Integral Equations Operator Theory 1, No. 1 (1978), 57-102.
10. 10. J. L. KELLEY, I. NAMIOKA, AND COAUTHORS, "Topological Vector Spaces," Van Nostrand, Princeton, NJ, 1963.
11. 11. G. KÖTHE, Dualität in der Funktionentheorie, Crelles J. 191 (1953).
12. 12. M. MARTIN AND M. PUTINAR, A unitary invariant for hyponormal operators, J. Funct. Anal. 73 (1987), 292-323.
13. 13. L. NARICI AND E. BECKENSTEIN, "Topological Vector Spaces," Dekker, New York, 1985.
14. 14. J. E. THOMPSON, The commutant of a class of analytic Toeplitz operators, Amer. J. Math. 99, No. 3 (1977), 522-529.
15. 15. V. V. PELLER, Iterates of Toeplitz operators with unimodular symbols, in "Linear and Complex Analysis Problem Book," 3d ed. (V. P. Havin and N. K. Nikol'skiǐ, Eds.), Springer-Verlag, Lecture Notes in Math., Vols. 1573, 1574, 1994.
16. 16. I. I. PRIVALOV, "Boundary Behavior of Analytic Functions," GITTL, Moscow/Leningrad, 1950; German translation, Verlag der Wissenschaften, Berlin/Dentsher, 1956.
17. 16. I. I. PRIVALOV, "Boundary Behavior of Analytic Functions," GITTL, Moscow/Leningrad, 1950; German translation, Verlag der Wissenschaften, Berlin/Dentsher, 1956.
18. 17. K. RUDOL, A model for some analytic Toeplitz operators, Stud. Mat. 100, No. 1 (1991), 81-86.
19. 18. A. L. SHIELDS AND L. J. WALLEN, The commutants of certain Hilbert space operators, Indiana Univ. Math. J. 20 (1970/1971), 777-788.
20. 19. B. M. SOLOMYAK AND A. L. VOLBERG, Multiplicity of analytic Toeplitz operators, Operator Theory Adv. Appl. 42 (1989), 87-192.
21. 20. V. A. TOLOKONNIKOV, Extension problem to invertible matrix, Proc. Amer. Math. Soc. 117, No. 4 (1993), 1023-1030.
22. 21. D. XIA, On the kernels associated with a class of hyponormal operators, Integral Equations Operator Theory 6, No. 1 (1983), 444-452.
23. 22. D. XIA, On the analytic model of a class of hyponormal operators, Integral Equations Operator Theory 6, No. 3 (1983), 134-157.
24. 23. D. XIA, The analytic model of a subnormal operator, Integral Equations Operator Theory 10, No. 2 (1987), 258-289.
25. 24. D. XIA, Analytic theory of subnormal operators, Integral Equations Operator Theory 10, No. 6 (1987), 880-903.
26. 25. D. V. YAKUBOVICH, Riemann surface models of Toeplitz operators, Oper. Theory Adv. Appl. 42 (1989), 305-415.
27. 26. D. V. YAKUBOVICH, On the spectral theory of Toeplitz operators with smooth symbols, Algebra i Anal. 3, No. 4 (1991), 208-226 [Russian]; English transl. Petersburg Math. J. 3, No. 4 (1992), 903-921.
28. 26. D. V. YAKUBOVICH, On the spectral theory of Toeplitz operators with smooth symbols, Algebra i Anal. 3, No. 4 (1991), 208-226 [Russian]; English transl. Petersburg Math. J. 3, No. 4 (1992), 903-921.
29. 27. D. V. YAKUBOVICH, Spectral multiplicity of Toeplitz operators with smooth symbols, Amer. J. Math. 115, No. 6 (1993), 1335-1346.
30. 28. D. V. YAKUBOVICH, Dual analytic models of seminormal operators, Integral Equations Operator Theory 23, No. 3 (1995), 353-371.