Extension theorems for nonlinear disjointly additive functionals and operators on Lebesgue spaces, with applications
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- by Moshe Marcus and Victor J. Mizel PDF
- Bull. Amer. Math. Soc. 82 (1976), 115-117
References
- L. Drewnowski and W. Orlicz, Continuity and representation of orthogonally additive functionals, Bull. Acad. Polon. Sci. Sér. Sci. Math. Astronom. Phys. 17 (1969), 647–653 (English, with Russian summary). MR 256147
- J. F. C. Kingman and A. P. Robertson, On a theorem of Lyapunov, J. London Math. Soc. 43 (1968), 347–351. MR 224768, DOI 10.1112/jlms/s1-43.1.347 3. I. Kluvanek, Lectures on vector measures, Lecture notes, Van Nostrand Mathematical Studies (to appear).
- M. A. Krasnosel′skiĭ, P. P. Zabreĭko, E. I. Pustyl′nik, and P. E. Sobolevskiĭ, Integral′nye operatory v prostranstvakh summiruemykh funktsiĭ, Izdat. “Nauka”, Moscow, 1966 (Russian). MR 0206751 5. M. Marcus and V. J. Mizel, Representation theorems for non-linear disjointly additive functionals on Sobolev spaces (to appear).
- Victor J. Mizel, Characterization of non-linear transformations possessing kernels, Canadian J. Math. 22 (1970), 449–471. MR 262890, DOI 10.4153/CJM-1970-053-3
- Victor J. Mizel and K. Sundaresan, Representation of vector valued nonlinear functions, Trans. Amer. Math. Soc. 159 (1971), 111–127. MR 279647, DOI 10.1090/S0002-9947-1971-0279647-8
Additional Information
- Journal: Bull. Amer. Math. Soc. 82 (1976), 115-117
- MSC (1970): Primary 46E35, 46G99; Secondary 28A15
- DOI: https://doi.org/10.1090/S0002-9904-1976-13982-1
- MathSciNet review: 0402485