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Extension theorems for nonlinear disjointly additive functionals and operators on Lebesgue spaces, with applications
Author(s):
Moshe
Marcus;
Victor J.
Mizel
Journal:
Bull. Amer. Math. Soc.
82
(1976),
115-117.
MSC (1970):
Primary 46E35, 46G99;
Secondary 28A15
Erratum, Volume 82:
Bull. Amer. Math. Soc., Volume 82, Number 2 (1976), 353--353
MathSciNet review:
0402485
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Additional information
References:
- 1.
- 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. MR 41 #806. MR 256147
- 2.
- J. F. C. Kingman and A. P. Robertson, On a theorem of Lyapunov, J. London Math. Soc. 43 (1968), 347-351. MR 37 #367. MR 224768
- 3.
- I. Kluvanek, Lectures on vector measures, Lecture notes, Van Nostrand Mathematical Studies (to appear).
- 4.
- M. A. Krasnosel'skiĭ, P. P. Zabreĭko, et al., Integral operators in spaces of summable functions, "Nauka", Moscow, 1966; English transl., Noordhoff, Groningen, 1975. MR 34 #6568. MR 206751
- 5.
- M. Marcus and V. J. Mizel, Representation theorems for non-linear disjointly additive functionals on Sobolev spaces (to appear).
- 6.
- V. J. Mizel, Characterization of non-linear transformations possessing kernels, Canad. J. Math. 22 (1970), 449-471. MR 41 #7495. MR 262890
- 7.
- V. J. Mizel and K. Sundaresan, Representation of vector-valued non-linear functions, Trans. Amer. Math. Soc. 159 (1971), 111-127. MR 43 #5368. MR 279647
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Additional Information:
DOI:
10.1090/S0002-9904-1976-13982-1
PII:
S 0002-9904(1976)13982-1
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