On the integration of almost periodic functions with values in a Banach space. (English. Russian original) Zbl 0206.42903
Funct. Anal. Appl. 3, 228-230 (1969); translation from Funkts. Anal. Prilozh. 3, No. 3, 71-74 (1969).
MSC:
| 46G12 | Measures and integration on abstract linear spaces |
| 46E15 | Banach spaces of continuous, differentiable or analytic functions |
References:
| [1] | S. Bochner, ”Abstrakte fastperiodische Funktionen,” Acta Math.,61, 149–184 (1933). · Zbl 0007.11201 · doi:10.1007/BF02547790 |
| [2] | L. Amerio, ”Abstract almost-periodic functions and functional equations,” Boll. Unione Mat. Ital.,20, 267–333 (1965). · Zbl 0135.29105 |
| [3] | B. M. Levitan, Almost Periodic Functions [in Russian], Gostekhizdat, Moscow (1953). · Zbl 1222.42002 |
| [4] | M. I. Kadets, ”The method of equivalent norms in the theory of abstract almost periodic functions,” Studia Math.,31, 89–94 (1968). · Zbl 0169.18401 |
| [5] | A. Pelczynski, ”On B-spaces containing subspaces isomorphic to the space c0,” Bull. de l’Acad. Polon. Sci.,5, No. 8, 797–798 (1957). · Zbl 0078.10403 |
| [6] | A. Pelczynski, ”Projections in certain Banach spaces,” Studia Math.,19, 209–228 (1960). · Zbl 0104.08503 |
| [7] | I. M. Gel’fand, ”Abstrakte Funktionen und lineare Operatoren,” Mat. Sb.,4, 235–286 (1938). · JFM 64.0368.02 |
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