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Nakazi, Takahiko

Hardy spaces and Jensen measures. (English) Zbl 0502.46031

Trans. Am. Math. Soc. 274, 375-378 (1982).
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Cited in 2 Documents

MSC:

46J10 Banach algebras of continuous functions, function algebras
46J15 Banach algebras of differentiable or analytic functions, \(H^p\)-spaces
47A15 Invariant subspaces of linear operators
47B37 Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.)

Keywords:

Hardy spaces; backward shift invariant subalgebras; Jensen measure; weak- * Dirichlet algebra

Citations:

Zbl 0436.46039
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Full Text: DOI

References:

[1] Stephen D. Fisher, Algebras of bounded functions invariant under the restricted backward shift, J. Functional Analysis 12 (1973), 236 – 245. · Zbl 0252.30044
[2] Theodore W. Gamelin, Uniform algebras, Prentice-Hall, Inc., Englewood Cliffs, N. J., 1969. · Zbl 0213.40401
[3] T. W. Gamelin, Uniform algebras and Jensen measures, London Mathematical Society Lecture Note Series, vol. 32, Cambridge University Press, Cambridge-New York, 1978. · Zbl 0418.46042
[4] Kenneth Hoffman, Analytic functions and logmodular Banach algebras, Acta Math. 108 (1962), 271 – 317. · Zbl 0107.33102 · doi:10.1007/BF02545769
[5] Kenneth Hoffman and Hugo Rossi, Function theory and multiplicative linear functionals, Trans. Amer. Math. Soc. 116 (1965), 536 – 543. · Zbl 0138.38102
[6] G. Lumer, Herglotz transformation and \?^{\?} theory, Bull. Amer. Math. Soc. 71 (1965), 725 – 730. · Zbl 0139.07302
[7] Takahiko Nakazi, A note on weak-\ast Dirichlet algebra, Bull. Acad. Polon. Sci. Sér. Sci. Math. 27 (1979), no. 7-8, 553 – 555 (1980) (English, with Russian summary). · Zbl 0436.46039
[8] T. P. Srinivasan and Ju-kwei Wang, Weak *-Dirichlet algebras, Function Algebras (Proc. Internat. Sympos. on Function Algebras, Tulane Univ., 1965) Scott-Foresman, Chicago, Ill., 1966, pp. 216 – 249. · Zbl 0191.13603
[9] Kôzô Yabuta, A note on extremum problems in abstract Hardy spaces, Arch. Math. (Basel) 23 (1972), 54 – 57. · Zbl 0239.46056 · doi:10.1007/BF01304842
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