On restriction algebras of tensor algebras

Sadahiro SAEKI

doi:10.2969/jmsj/02530506

Sadahiro SAEKI

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1973 Volume 25 Issue 3 Pages 506-522

DOI https://doi.org/10.2969/jmsj/02530506

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Published: 1973 Received: June 15, 1972 Available on J-STAGE: September 29, 2006 Accepted: - Advance online publication: - Revised: -
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Date of correction: September 29, 2006 Reason for correction: - Correction: AUTHOR Details: Wrong : Sadahiro SAEKI¹⁾
Right : Sadahiro SAEKI¹⁾²⁾

Date of correction: September 29, 2006 Reason for correction: - Correction: AFFILIATION Details: Wrong :
1) Department of Mathematics Tokyo Metropolitan University

Right :
1) Department of Mathematics Tokyo Metropolitan University
2) Department of Mathematics Kansas State University

Date of correction: September 29, 2006 Reason for correction: - Correction: CITATION Details: Wrong : 1) J.-P. Kahane et R. Salem, Ensembles parfaits et séries trigonométriques, Paris, Hermann, 1963.
2) Y. Katznelson and O.C. McGehee, Measures and pseudomeasures on compact subsets of the line, Math. Scand., 23 (1968), 57-68.
3) Y. Katznelson and O. C. McGehee, Some Banach algebras associated with quotients of L¹(R), Indiana Univ. Math. J., 21 (1971), 419-436.
4) L.H. Loomis, The spectral characterization of a class of almost periodic functions, Ann. Math., 72 (1960), 362-368.
5) W. Rudin, Fourier-Stieltjes transforms of measures on independent sets, Bull. Amer. Math. Soc., 66 (1960), 199-202.
6) W. Rudin, Fourier analysis on groups, Interscience, New York, 1962.
7) S. Saeki, The ranges of certain isometries of tensor products of Banach spaces, J. Math. Soc. Japan, 23 (1971), 27-39.
8) S. Saeki, Homomorphisms of tensor algebras, Tohoku Math. J., 23 (1971), 173-199.
9) S. Saeki, On the strong Ditkin sets, Ark. Mat., 10 (1972), 1-7.
10) S. Saeki, Tensor products of Banach algebras and harmonic analysis, Tohoku Math. J., 24 (1972), 281-299.
11) N. Th. Varopoulos, Sur les ensembles parfaits et les séries trigonométriques, C.R. Acad. Sci. Paris, 260 (1965), 5997-6000.
12) N. Th. Varopoulos, Sets of multiplicity in locally compact abelian groups, Ann. Inst. Fourier (Grenoble), 16 (1966), 123-158.
13) N. Th. Varopoulos, Tensor algebras and harmonic analysis, Acta Math., 119 (1967), 51-112.
14) N. Th. Varopoulos, On a problem of A. Beurling, J. Func. Anal., 2 (1968), 24-30.
15) N. Th. Varopoulos, Groups of continuous functions in harmonic analysis, Acta Math., 125 (1970), 109-154.

Right : [1] J. -P. Kahane et R. Salem, Ensembles parfaits et séries trigonométriques, Paris, Hermann, 1963.
[2] Y. Katznelson and O. C. McGehee, Measures and pseudomeasures on compact subsets of the line, Math. Scand., 23 (1968), 57-68.
[3] Y. Katznelson and O. C. McGehee, Some Banach algebras associated with quotients of L¹(R), Indiana Univ. Math. J., 21 (1971), 419-436.
[4] L. H. Loomis, The spectral characterization of a class of almost periodic functions, Ann. Math., 72 (1960), 362-368.
[5] W. Rudin, Fourier-Stieltjes transforms of measures on independent sets, Bull. Amer. Math. Soc., 66 (1960), 199-202.
[6] W. Rudin, Fourier analysis on groups, Interscience, New York, 1962.
[7] S. Saeki, The ranges of certain isometries of tensor products of Banach spaces, J. Math. Soc. Japan, 23 (1971), 27-39.
[8] S. Saeki, Homomorphisms of tensor algebras, Tôhoku Math. J., 23 (1971), 173-199.
[9] S. Saeki, On the strong Ditkin sets, Ark. Mat., 10 (1972), 1-7.
[10] S. Saeki, Tensor products of Banach algebras and harmonic analysis, Tôhoku Math. J., 24 (1972), 281-299.
[11] N. Th. Varopoulos, Sur les ensembles parfaits et les séries trigonométriques, C. R. Acad. Sci. Paris, 260 (1965), 5997-6000.
[12] N. Th. Varopoulos, Sets of multiplicity in locally compact abelian groups, Ann. Inst. Fourier (Grenoble), 16 (1966), 123-158.
[13] N. Th. Varopoulos, Tensor algebras and harmonic analysis, Acta Math., 119 (1967), 51-112.
[14] N. Th. Varopoulos, On a problem of A. Beurling, J. Func. Anal., 2 (1968), 24-30.
[15] N. Th. Varopoulos, Groups of continuous functions in harmonic analysis, Acta Math., 125 (1970), 109-154.

Date of correction: September 29, 2006 Reason for correction: - Correction: PDF FILE Details: -

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