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In this paper we investigate the barrellednes of some spaces of X-valued measures, X being a barrelled normed space, and provide examples of non barrelled spaces of bounded linear operators from a Banach space X into a barrelled normed space Y , equipped with the uniform convergence topology.
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참고문헌 (17)
참고문헌 신청
F. J. Freniche / 1984 / Barrelledness of the space of vector valued and simple functions / Math. Ann 267 (4) : 479 ~ 489
G. K¨othe / 1983 / Topological Vector Spaces I / Springer-Verlag
H. Jarchow / 1981 / Locally Convex Spaces / B. G. Teubner
J. Batt / 1977 / Summable sequences and topological properties of m0 (I) / Arch. Math. (Basel) 28 (1) : 86 ~ 90
J. C. D´ıaz / 1993 / A uniform boundedness theorem for L∞ (μ,X) / Arch. Math. (Basel) 60 (1) : 73 ~ 78
G. K¨othe / 1983 / Topological Vector Spaces I / Springer-Verlag
H. Jarchow / 1981 / Locally Convex Spaces / B. G. Teubner
J. Batt / 1977 / Summable sequences and topological properties of m0 (I) / Arch. Math. (Basel) 28 (1) : 86 ~ 90
J. C. D´ıaz / 1993 / A uniform boundedness theorem for L∞ (μ,X) / Arch. Math. (Basel) 60 (1) : 73 ~ 78
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