Siberian Mathematical Journal

, Volume 19, Issue 2, pp 293–298 | Cite as

General linear-fractional transformations of operator balls

  • Yu. L. Shmul'yan


Operator Ball 
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Literature Cited

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    M. G. Krein and Yu. L. Schmul'yan, “On linear-fractional transformations with operator coefficients,” in: Mathematical Investigations [in Russian], Vol. 2, No. 3, Shtiintsa, Kishinev (1967), pp. 64–96.Google Scholar
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    Yu. L. Shmul'van, “Theory of linear relations and spaces with indefinite metric,” Funkts. Anal. Prilozhen.,10, No. 1, 68–73 (1976).Google Scholar
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    R. G. Douglas, “On majorization, factorization and range inclusion of operators in Hilbert space,” Proc. Am. Math. Soc.,17, No. 2, 413–415 (1966).Google Scholar
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    B. S. Nagy and C. Foias, Harmonic Analysis of Operators on Hilbert Spaces, North-Holland, Amsterdam (1971).Google Scholar
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    M. G. Krein and Yu. L. Shmul'yan, “On plus operators in a space with indefinite metric,” in: Mathematical Investigations [in Russian], Vol. 1, No. 1, Shtiintsa, Kishinev (1966), pp. 131–161.Google Scholar
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    R. Phillips, “On symplectic mapping of contraction operators,” Stud. Math.,31, 15–27 (1968).Google Scholar
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    Yu. L. Shmul'yan, “Operator balls,” in: Theory of Functions, Functional Analysis and Their Applications [in Russian], No. 6, Kharkov. Univ., Kharkov (1968), pp. 68–81.Google Scholar

Copyright information

© Plenum Publishing Corporation 1978

Authors and Affiliations

  • Yu. L. Shmul'yan

There are no affiliations available

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