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JOURNALS // Uspekhi Matematicheskikh Nauk

Uspekhi Mat. Nauk, 1950, Volume 5, Issue 2(36), Pages 180–190 (Mi rm8418)

On an application of the fixed point principle in the theory of linear transformations of spaces with an indefinite metric
M. G. Krein

This publication is cited in the following articles:
  1. A. A. Shkalikov, “Problema «poloviny» v teorii operatorov. Invariantnye podprostranstva, faktorizatsiya puchkov i diagonalizatsiya operatornykh matrits”, Tr. MMO, 85, no. 2, MTsNMO, M., 2024, 339–358  mathnet  crossref
  2. E. V. Kissin, V. S. Shulman, “O predstavleniyakh grupp i algebr v prostranstvakh s indefinitnoi metrikoi”, Posvyaschaetsya pamyati professora N.D. Kopachevskogo, SMFN, 67, no. 2, Rossiiskii universitet druzhby narodov, M., 2021, 295–315  mathnet  crossref
  3. M. V. Ahramovich, M. A. Muratov, V. S. Shulman, “Fuglede–Putnam Theorem in Algebras with Involutions”, Math. Notes, 98:4 (2015), 537–549  mathnet  crossref  crossref  mathscinet  isi  elib
  4. V. A. Khatskevich, V. A. Senderov, “Operator linear-fractional relations: main properties and applications”, Journal of Mathematical Sciences, 202:5 (2014), 667–683  mathnet  crossref
  5. S. G. Pyatkov, “On the existence of maximal semidefinite invariant subspaces for $J$-dissipative operators”, Sb. Math., 203:2 (2012), 234–256  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
  6. V. V. Kozlov, “Problem of stability of two-link trajectories in a multidimensional Birkhoff billiard”, Proc. Steklov Inst. Math., 273 (2011), 196–213  mathnet  crossref  mathscinet  zmath  isi  elib
  7. V. V. Kozlov, “Spectral properties of operators with polynomial invariants in real finite-dimensional spaces”, Proc. Steklov Inst. Math., 268 (2010), 148–160  mathnet  crossref  mathscinet  zmath  isi  elib  elib
  8. A. A. Shkalikov, “Dissipative Operators in the Krein Space. Invariant Subspaces and Properties of Restrictions”, Funct. Anal. Appl., 41:2 (2007), 154–167  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
  9. A. A. Shkalikov, “Invariant Subspaces of Dissipative Operators in a Space with Indefinite Metric”, Proc. Steklov Inst. Math., 248 (2005), 287–296  mathnet  mathscinet  zmath
  10. Yu. A. Neretin, “A semigroup of operators in the boson fock space”, Funct. Anal. Appl., 24:2 (1990), 135–144  mathnet  crossref  mathscinet  zmath  isi
  11. V. S. Shulman, “Fixed points of linear-fractional transformations”, Funct. Anal. Appl., 14:2 (1980), 162–163  mathnet  crossref  mathscinet  zmath
  12. T. Ya. Azizov, S. A. Khoroshavin, “Invariant subspaces of operators which act in a space with indefinite metric”, Funct. Anal. Appl., 14:4 (1980), 247–252  mathnet  crossref  mathscinet  zmath  isi
  13. V. S. Shulman, “One fixed-point theorem”, Funct. Anal. Appl., 13:1 (1979), 74–75  mathnet  crossref  mathscinet  zmath


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