Factorization and invariant subspaces for noncontractions
HTML articles powered by AMS MathViewer
- by Joseph A. Ball PDF
- Bull. Amer. Math. Soc. 80 (1974), 896-900
References
-
1. J. A. Ball, Models for non-contractions (to appear).
- Louis de Branges, Factorization and invariant subspaces, J. Math. Anal. Appl. 29 (1970), 163–200. MR 254638, DOI 10.1016/0022-247X(70)90108-3
- Louis de Branges, Some Hilbert spaces of analytic functions. II, J. Math. Anal. Appl. 11 (1965), 44–72. MR 209883, DOI 10.1016/0022-247X(65)90068-5
- Louis de Branges, Some Hilbert spaces of analytic functions. III, J. Math. Anal. Appl. 12 (1965), 149–186. MR 209884, DOI 10.1016/0022-247X(65)90032-6
- Louis de Branges and James Rovnyak, Canonical models in quantum scattering theory, Perturbation Theory and its Applications in Quantum Mechanics (Proc. Adv. Sem. Math. Res. Center, U.S. Army, Theoret. Chem. Inst., Univ. of Wisconsin, Madison, Wis., 1965) Wiley, New York, 1966, pp. 295–392. MR 0244795
- M. S. Brodskiĭ, Triangular and Jordan representations of linear operators, Translations of Mathematical Monographs, Vol. 32, American Mathematical Society, Providence, R.I., 1971. Translated from the Russian by J. M. Danskin. MR 0322542
- M. S. Brodskiĭ and M. S. Livšic, Spectral analysis of non-selfadjoint operators and intermediate systems, Amer. Math. Soc. Transl. (2) 13 (1960), 265–346. MR 0113144, DOI 10.1090/trans2/013/09
- V. M. Brodskiĭ, Operator colligations and their characteristic functions, Dokl. Akad. Nauk SSSR 198 (1971), 16–19 (Russian). MR 0303320
- V. M. Brodskiĭ, I. C. Gohberg, and M. G. Kreĭn, The characteristic functions of an invertible operator, Acta Sci. Math. (Szeged) 32 (1971), 141–164 (Russian). MR 341142
- V. M. Brodskiĭ and Ja. S. Švarcman, Invariant subspaces of contractions, Dokl. Akad. Nauk SSSR 201 (1971), 519–522 (Russian). MR 0293438
- Douglas N. Clark, On models for noncontractions, Acta Sci. Math. (Szeged) 36 (1974), 5–16. MR 358400
- D. N. Clark, On functional models for non-contraction operators, Bull. Acad. Polon. Sci. Sér. Sci. Math. Astronom. Phys. 23 (1975), no. 2, 159–163 (English, with Russian summary). MR 372650
- Chandler Davis and Ciprian Foiaş, Operators with bounded characteristic function and their $J$-unitary dilation, Acta Sci. Math. (Szeged) 32 (1971), 127–139. MR 313845
- M. S. Livšic, On a class of linear operators in Hilbert space, Amer. Math. Soc. Transl. (2) 13 (1960), 61–83. MR 0113142, DOI 10.1090/trans2/013/04
- 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
Additional Information
- Journal: Bull. Amer. Math. Soc. 80 (1974), 896-900
- MSC (1970): Primary 47A45
- DOI: https://doi.org/10.1090/S0002-9904-1974-13562-7
- MathSciNet review: 0367686