Extension theorems for nonlinear disjointly additive functionals and operators on Lebesgue spaces, with applications
Authors:
Moshe Marcus and Victor J. Mizel
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
Erratum, Volume 82:
Bull. Amer. Math. Soc., Volume 82, Number 2 (1976), 353--353
MathSciNet review:
0402485
Full-text PDF Free Access
References | Similar Articles | Additional Information
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- 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 https://doi.org/10.4153/CJM-1970-053-3
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