Notes on invariant subspaces
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- by Hari Bercovici PDF
- Bull. Amer. Math. Soc. 23 (1990), 1-36
References
- Constantin Apostol, Ultraweakly closed operator algebras, J. Operator Theory 2 (1979), no. 1, 49–61. MR 553863
- Hari Bercovici, A contribution to the structure theory of operators in the class $\textbf {A}$, J. Funct. Anal. 78 (1988), no. 2, 197–207. MR 943497, DOI 10.1016/0022-1236(88)90118-8
- Hari Bercovici, Factorization theorems for integrable functions, Analysis at Urbana, Vol. II (Urbana, IL, 1986–1987) London Math. Soc. Lecture Note Ser., vol. 138, Cambridge Univ. Press, Cambridge, 1989, pp. 9–21. MR 1009183
- Hari Bercovici, Factorization theorems and the structure of operators on Hilbert space, Ann. of Math. (2) 128 (1988), no. 2, 399–413. MR 960951, DOI 10.2307/1971446
- Hari Bercovici, Ciprian Foias, and Carl Pearcy, Dual algebras with applications to invariant subspaces and dilation theory, CBMS Regional Conference Series in Mathematics, vol. 56, Published for the Conference Board of the Mathematical Sciences, Washington, DC; by the American Mathematical Society, Providence, RI, 1985. MR 787041, DOI 10.1090/cbms/056
- Leon Brown, Allen Shields, and Karl Zeller, On absolutely convergent exponential sums, Trans. Amer. Math. Soc. 96 (1960), 162–183. MR 142763, DOI 10.1090/S0002-9947-1960-0142763-8
- Scott W. Brown, Some invariant subspaces for subnormal operators, Integral Equations Operator Theory 1 (1978), no. 3, 310–333. MR 511974, DOI 10.1007/BF01682842
- S. W. Brown, Contractions with spectral boundary, Integral Equations Operator Theory 11 (1988), no. 1, 49–63. MR 920734, DOI 10.1007/BF01236653
- S. Brown, B. Chevreau, and C. Pearcy, Contractions with rich spectrum have invariant subspaces, J. Operator Theory 1 (1979), no. 1, 123–136. MR 526294
- Bernard Chevreau and Carl Pearcy, On the structure of contraction operators. I, J. Funct. Anal. 76 (1988), no. 1, 1–29. MR 923042, DOI 10.1016/0022-1236(88)90046-8
- Bernard Chevreau, Sur les contractions à calcul fonctionnel isométrique. II, J. Operator Theory 20 (1988), no. 2, 269–293 (French). MR 1004124
- Bernard Chevreau and Carl Pearcy, On the structure of contraction operators. I, J. Funct. Anal. 76 (1988), no. 1, 1–29. MR 923042, DOI 10.1016/0022-1236(88)90046-8
- Ronald G. Douglas, Banach algebra techniques in operator theory, Pure and Applied Mathematics, Vol. 49, Academic Press, New York-London, 1972. MR 0361893
- Kenneth Hoffman, Banach spaces of analytic functions, Prentice-Hall Series in Modern Analysis, Prentice-Hall, Inc., Englewood Cliffs, N.J., 1962. MR 0133008
- L. A. Rubel and A. L. Shields, The space of bounded analytic functions on a region, Ann. Inst. Fourier (Grenoble) 16 (1966), no. fasc. 1, 235–277. MR 198281, DOI 10.5802/aif.231
- Béla Sz.-Nagy and Ciprian Foiaş, Harmonic analysis of operators on Hilbert space, North-Holland Publishing Co., Amsterdam-London; American Elsevier Publishing Co., Inc., New York; Akadémiai Kiadó, Budapest, 1970. Translated from the French and revised. MR 0275190
- John Wermer, On invariant subspaces of normal operators, Proc. Amer. Math. Soc. 3 (1952), 270–277. MR 48700, DOI 10.1090/S0002-9939-1952-0048700-X
Additional Information
- Journal: Bull. Amer. Math. Soc. 23 (1990), 1-36
- MSC (1985): Primary 47A15, 47A45
- DOI: https://doi.org/10.1090/S0273-0979-1990-15894-X
- MathSciNet review: 990552