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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2007.1
- 수록면
- 501 - 517 (17page)
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In this paper, we introduce and study a new class containing absolutely summing multilinear mappings and polynomials, which we call multiple weakly summing multilinear mappings and polynomials. We investigate some interesting properties about multiple weakly (p; q1, · · · , qk)-summing multilinear mappings and polynomials defined on
Banach spaces: In particular, we prove a kind of Dvoretzky-Rogers’ Theorem and an ideal property for multiple weakly (p; q1, · · · , qk)-summing multilinear mappings and polynomials. We also prove that the Aron-Berner extensions of multiple weakly (p; q1, · · · , qk)- summing multilinear mappings and polynomials are also multiple weakly (p; q1, · · · , qk)- summing.
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참고문헌 (7)
참고문헌 신청
A. M. Davie / 1989 / A theorem on polynomial-star approximation : 351 ~ 356
F. Bombal / 2004 / Multilinear extensions of Grothendieck¡?s theorem 55 : 441 ~ 450
J. Diestel / 1995. / Absolutely Summing Operators
M. Matos / 1997 / The Dvoretzky-Rogers theorem for polynomial and multilinear mappings : 849 ~ 856
R. Aron / 1978 / A Hahn-Banach extension theorem for analytic functions : 3 ~ 24
F. Bombal / 2004 / Multilinear extensions of Grothendieck¡?s theorem 55 : 441 ~ 450
J. Diestel / 1995. / Absolutely Summing Operators
M. Matos / 1997 / The Dvoretzky-Rogers theorem for polynomial and multilinear mappings : 849 ~ 856
R. Aron / 1978 / A Hahn-Banach extension theorem for analytic functions : 3 ~ 24
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