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Transactions of the American Mathematical Society

Published by the American Mathematical Society, the Transactions of the American Mathematical Society (TRAN) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.43.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.


Complementation in Kreĭn spaces
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by Louis de Branges PDF
Trans. Amer. Math. Soc. 305 (1988), 277-291 Request permission


A generalization of the concept of orthogonal complement is introduced in complete and decomposable complex vector spaces with scalar product.
  • János Bognár, Indefinite inner product spaces, Ergebnisse der Mathematik und ihrer Grenzgebiete, Band 78, Springer-Verlag, New York-Heidelberg, 1974. MR 0467261, DOI 10.1007/978-3-642-65567-8
  • Louis de Branges, Vectorial topology, J. Math. Anal. Appl. 69 (1979), no. 2, 443–454. MR 538231, DOI 10.1016/0022-247X(79)90156-2
  • —, Square summable power series, Grundlehren Math. Wiss., Springer-Verlag, Heidelberg (to appear).
  • Louis de Branges, Underlying concepts in the proof of the Bieberbach conjecture, ICM Series, American Mathematical Society, Providence, RI, 1988. A plenary address presented at the International Congress of Mathematicians held in Berkeley, California, August 1986; Introduced by Max M. Schiffer. MR 1055356
  • Louis de Branges, Kreĭn spaces of analytic functions, J. Funct. Anal. 81 (1988), no. 2, 219–259. MR 971879, DOI 10.1016/0022-1236(88)90099-7
  • 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
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Additional Information
  • © Copyright 1988 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 305 (1988), 277-291
  • MSC: Primary 46D05; Secondary 47B50
  • DOI:
  • MathSciNet review: 920159