Invariant subspaces of shift operators of arbitrary multiplicity

Shinzo KAWAMURA

doi:10.2969/jmsj/03420339

Shinzo KAWAMURA

著者情報

ジャーナルフリー

1982 年 34 巻 2 号 p. 339-354

DOI https://doi.org/10.2969/jmsj/03420339

詳細

Published: 1982 Received: 1980/10/09 Available on J-STAGE: 2006/10/20 Accepted: - Advance online publication: - Revised: -
訂正情報
訂正日: 2006/10/20 訂正理由: - 訂正箇所: 引用文献情報訂正内容: Wrong : 1) W.B. Arveson, Analyticity in operator algebras, Amer. J. Math., 89 (1967), 578-642.
2) A. Beurling, On two problems concerning linear transformations in Hilbert space, Acta Math., 81 (1949), 239-255.
3) P.R. Halmos, Shifts on Hilbert spaces, J. Reine Angew. Math., 208(1961), 102-112.
4) H. Helson, Lectures on Invariant Subspaces, Academic Press, London-New York, 1964.
5) R.I. Loeble and P.S. Muhly, Analyticity and flows in von Neumann algebras, J. Funct. Anal., 29 (1978), 214-252.
6) M. McAsey, P.S. Muhly and K.S. Saito, Non-self-adjoint crossed products (Invariant subspaces and maximality), Trans. Amer. Math. Soc., 248 (1978), 381-409.
7) P.S. Muhly and K.S. Saito, Non-self-adjoint crossed products II, J. Math. Soc. Japan, 33 (1981), 485-495.
8) G.K. Pedersen, C^*-algebras and their automorphism groups, Academic Press, London-New York-San Francisco, 1979.
9) S. Stratila and L. Zsido, Lectures on von Neumann Algebras, Abacus Press, Tunbridge Wells-Kent, England, 1979.
10) M. Takesaki, Theory of Operator Algebras I, Springer-Verlag, New York-Heiderberg-Berlin, 1979.
11) S. Kawamura, Invariant subspaces for shift operators of multiplicity one, Tohoku Math. J., 34 (1982), 15-21.

Right : [1] W. B. Arveson, Analyticity in operator algebras, Amer. J. Math., 89 (1967), 578-642.
[2] A. Beurling, On two problems concerning linear transformations in Hilbert space, Acta Math., 81 (1949), 239-255.
[3] P. R. Halmos, Shifts on Hilbert spaces, J. Reine Angew. Math., 208 (1961), 102-112.
[4] H. Helson, Lectures on Invariant Subspaces, Academic Press, London-New York, 1964.
[5] R. I. Loeble and P. S. Muhly, Analyticity and flows in von Neumann algebras, J. Funct. Anal., 29 (1978), 214-252.
[6] M. McAsey, P. S. Muhly and K. S. Saitô, Non-self-adjoint crossed products (Invariant subspaces and maximality), Trans. Amer. Math. Soc., 248 (1978), 381-409.
[7] P. S. Muhly and K. S. Saitô, Non-self-adjoint crossed products II, J. Math. Soc. Japan, 33 (1981), 485-495.
[8] G. K. Pedersen, C-algebras and their automorphism groups, Academic Press, London-New York-San Francisco, 1979.
[9] S. Stratila and L. Zsido, Lectures on von Neumann Algebras, Abacus Press, Tunbridge Wells-Kent, England, 1979.
[10] M. Takesaki, Theory of Operator Algebras I, Springer-Verlag, New York-Heiderberg-Berlin, 1979.
[11] S. Kawamura, Invariant subspaces for shift operators of multiplicity one, Tohoku Math. J., 34 (1982), 15-21.

訂正日: 2006/10/20 訂正理由: - 訂正箇所: PDFファイル訂正内容: -

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