Czasopismo
Tytuł artykułu
Autorzy
Warianty tytułu
Języki publikacji
Abstrakty
It is shown that the proper domains of integral operators have separating duals but in general they are not locally convex. Banach function spaces which can occur as proper domains are characterized. Some known and some new results are given, illustrating the usefulness of the notion of proper domain.
Słowa kluczowe
Kategorie tematyczne
Czasopismo
Rocznik
Tom
Numer
Strony
53-68
Opis fizyczny
Daty
wydano
1994
otrzymano
1993-08-12
poprawiono
1994-03-10
Twórcy
autor
- Department of Mathematics, University of Mississippi, Oxford, ,Mississippi 38677, U.S.A.
autor
- Department of Mathematics, University of Kansas, Lawrence, Kansas 66045, U.S.A.
Bibliografia
- [AS] N. Aronszajn and P. Szeptycki, On general integral transformations, Math. Ann. 163 (1966), 127-154.
- [B] S. Banach, Sur les opérations dans les ensembles abstraits et leur applications aux équations intégrales, Fund. Math. 3 (1922), 133-181.
- [D] I. Daubechies, Ten Lectures on Wavelets, SIAM, 1992.
- [Dr] L. Drewnowski, On subseries convergence in some function spaces, Bull. Acad. Polon. Sci. Sér. Sci. Math. Astronom. Phys. 22 (1974), 797-802.
- [F] W. Feller, An Introduction to Probability Theory and its Applications, Vol. 2, Wiley, 1966.
- [G] E. Gagliardo, On integral transformations with positive kernel, Proc. Amer. Math. Soc. 16 (1965), 429-434.
- [HS] P. R. Halmos and V. S. Sunder, Bounded Integral Operators in $L^2$ Spaces, Springer, 1978.
- [K] V. B. Korotkov, Integral Operators, Nauka, Novosibirsk, 1983 (in Russian).
- [MN] P. Meyer-Nieberg, Banach Lattices, Springer, 1991.
- [N] E. M. Nikishin, Theorems of resonance and nonlinear operators, Uspekhi Mat. Nauk 25 (6) (1970), 129-191 (in Russian).
- [R] S. Rolewicz, Metric Linear Spaces, PWN, Warszawa, 1972.
- [P] B. de Pagter, A note on integral operators, Acta Sci. Math. (Szeged) 50 (1986), 225-230.
- [Sc] A. R. Schep, Kernel operators, thesis, Leiden, 1977.
- [Su] V. S. Sunder, Absolutely bounded matrices, Indiana Univ. Math. J. 27 (1978), 919-927.
- [Z] A. C. Zaanen, Riesz Spaces, II, North-Holland, 1983.
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
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