Tensor products of C(X)-spaces and their conjugate spaces

Sadahiro SAEKI

doi:10.2969/jmsj/02810033

Sadahiro SAEKI

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JOURNAL FREE ACCESS

1976 Volume 28 Issue 1 Pages 33-47

DOI https://doi.org/10.2969/jmsj/02810033

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Published: 1976 Received: August 28, 1974 Available on J-STAGE: October 20, 2006 Accepted: - Advance online publication: - Revised: -
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Date of correction: October 20, 2006 Reason for correction: - Correction: TITLE Details: Wrong : Tensor products of C(X)-spaces and their conjugate spaces
Right : Tensor products of C(X)-spaces and their conjugate spaces

Date of correction: October 20, 2006 Reason for correction: - Correction: CITATION Details: Wrong : 1) C. F. Dunkl and D. E. Ramirez, Topics in harmonic analysis, Appleton-Century-Crofts, New York, 1971.
2) S. C. Herz, Remarques sur la note précédente de M. Varopoulos, C. R. Acad. Sci. Paris, 260 (1965), 6001-6004.
3) E. Hewitt and H. Zuckerman, Singular measures with absolutely continuous convolution squares, Proc. Cambridge Philos. Soc., 62 (1966), 399-420.
4) W. Rudin, Fourier analysis on groups, Interscience Tracts in Pure and Appl. Math., no. 12, Interscience, New York, 1962.
5) S. Saeki, The ranges of certain isometries of tensor products of Banach spaces, J. Math. Soc. Japan, 23 (1971), 27-39.
6) S. Saeki, Homomorphisms of tensor algebras, Tohoku Math. J., 23 (1971), 173-199.
7) S. Saeki, Tensor products of Banach algebras and harmonic analysis, Tohoku Math. J., 24 (1972), 281-299.
8) S. Saeki, On restriction algebras of tensor algebras, J. Math. Soc. Japan, 25 (1973), 506-522.
9) S. Saeki, Infinite tensor products in Fourier algebras, submitted to Tohoku Math. J.,
10) L. Schwartz, Produits tensoriels topologiques d'espaces vectoriels topologiques. Espaces vectoriels topologiques nucléaires. Applications, Faculté des Sciences de Paris (1953-1954).
11) N. Th. Varopoulos, Tensor algebras and harmonic analysis, Acta Math., 119 (1967), 51-112.
12) N. Th. Varopoulos, Tensor algebras over discrete spaces, J. Functional Analysis, 3 (1969), 321-335.
13) A. Zygmund, Trigonometric series, Vol. I, Cambridge University Press, New York, 1959.

Right : [1] C. F. Dunkl and D. E. Ramirez, Topics in harmonic analysis, Appleton-Century-Crofts, New York, 1971.
[2] S. C. Herz, Remarques sur la note précédente de M. Varopoulos, C. R. Acad. Sci. Paris, 260 (1965), 6001-6004.
[3] E. Hewitt and H. Zuckerman, Singular measures with absolutely continuous convolution squares, Proc. Cambridge Philos. Soc., 62 (1966), 399-420.
[4] W. Rudin, Fourier analysis on groups, Interscience Tracts in Pure and Appl. Math., no. 12, Interscience, New York, 1962.
[5] S. Saeki, The ranges of certain isometries of tensor products of Banach spaces, J. Math. Soc. Japan, 23 (1971), 27-39.
[6] S. Saeki, Homomorphisms of tensor algebras, Tohoku Math. J., 23 (1971), 173-199.
[7] S. Saeki, Tensor products of Banach algebras and harmonic analysis, Tôhoku Math. J., 24 (1972), 281-299.
[8] S. Saeki, On restriction algebras of tensor algebras, J. Math. Soc. Japan, 25 (1973), 506-522.
[9] S. Saeki, Infinite tensor products in Fourier algebras, submitted to Tôhoku Math. J.,
[10] L. Schwartz, Produits tensoriels topologiques d'espaces vectoriels topologiques. Espaces vectoriels topologiques nucléaires. Applications, Faculté des Sciences de Paris (1953-1954).
[11] N. Th. Varopoulos, Tensor algebras and harmonic analysis, Acta Math., 119 (1967), 51-112.
[12] N. Th. Varopoulos, Tensor algebras over discrete spaces, J. Functional Analysis, 3 (1969), 321-335.
[13] A. Zygmund, Trigonometric series, Vol. I, Cambridge University Press, New York, 1959.

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