지원사업
학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
커뮤니티
연구자들이 자신의 연구와 전문성을 널리 알리고, 새로운 협력의 기회를 만들 수 있는 네트워킹 공간이에요.
초록· 키워드
오류제보하기
This study is concerned with the approximation properties of pairs. For $\lambda \geq 1$, we prove that given a Banach space $X$ and a closed subspace $Z_{0}$, if the pair $(X,Z_{0})$ has the $\lambda$-bounded approximation property ($\lambda$-BAP), then for every ideal $Z$ containing $Z_{0}$, the pair $(Z,Z_{0})$ has the $\lambda$-BAP; further, if $Z$ is a closed subspace of $X$ and the pair $(X,Z)$ has the $\lambda$-BAP, then for every separable subspace $Y_{0}$ of $X$, there exists a separable closed subspace $Y$ containing $Y_{0}$ such that the pair $(Y,Y\cap Z)$ has the $\lambda$-BAP. We also prove that if $Z$ is a separable closed subspace of $X$, then the pair $(X,Z)$ has the $\lambda$-BAP if and only if for every separable subspace $Y_{0}$ of $X$, there exists a separable closed subspace $Y$ containing $Y_{0} \cup Z$ such that the pair $(Y,Z)$ has the $\lambda$-BAP.
목차
등록된 정보가 없습니다.
참고문헌 (12)
참고문헌 신청
D. Chen / 2015 / The weak bounded approximation property of pairs / Proc. Amer. Math. Soc 143(4):1665~1673
T. Figiel / 2011 / Some approximation properties of Banach spaces and Banach lattices / Israel J. Math 183:199~231
G. Godefroy / 1989 / Three-space problems for the approximation properties / Proc. Amer. Math. Soc 105(1):70~75
W. B. Johnson / 1972 / A complementary universal conjugate Banach space and its relation to the approximation problem / Israel J. Math 13:301~310
N. J. Kalton / 1984 / Locally complemented subspaces and Lp-spaces for 0 < p < 1 / Math. Nachr 115:71~97
T. Figiel / 2011 / Some approximation properties of Banach spaces and Banach lattices / Israel J. Math 183:199~231
G. Godefroy / 1989 / Three-space problems for the approximation properties / Proc. Amer. Math. Soc 105(1):70~75
W. B. Johnson / 1972 / A complementary universal conjugate Banach space and its relation to the approximation problem / Israel J. Math 13:301~310
N. J. Kalton / 1984 / Locally complemented subspaces and Lp-spaces for 0 < p < 1 / Math. Nachr 115:71~97
함께 읽어보면 좋을 논문
논문 유사도에 따라 DBpia 가 추천하는 논문입니다. 함께 보면 좋을 연관 논문을 확인해보세요!
-
Generalized $(\Lambda,b)$-closed sets in topological spaces
한국수학논문집
2017 .01
-
Tutorial: Dimension reduction in regression with a notion of sufficiency
CSAM(Communications for Statistical Applications and Methods)
2016 .03
-
$b$-generalized derivations on multilinear polynomials in prime rings
대한수학회보
2018 .01
-
The separable weak bounded approximation property
대한수학회보
2015 .01
-
On similarity and reducing subspaces of a class of operator on the Dirichlet space
대한수학회보
2024 .07
-
Random sampling and reconstruction of signals with finite rate of innovation
대한수학회보
2022 .03
-
Reducing subspaces of weighted shifts with operator weights
대한수학회보
2016 .01
-
Characterization of transcriptional responses mediated by benzo[a] pyrene stress in a new marine fish model of goby, Mugilogobius chulae
Genes & Genomics
2019 .01
-
On the extension dimension of module categories
대한수학회지
2020 .01
-
Nehari manifold and multiplicity results for a class of fractional boundary value problems with $p$-Laplacian
대한수학회보
2019 .01
-
ALGEBRAIC SPECTRAL SUBSPACES OF OPERATORS WITH FINITE ASCENT
충청수학회지
2016 .01
-
Reducing subspaces for a class of Toeplitz operators on weighted Hardy spaces over bidisk
대한수학회보
2017 .07
-
Existence of solutions to a generalized self-dual Chern-Simons equation on finite graphs
대한수학회지
2024 .01
-
Pathconnectedness of Wavelet Sets in Reducing Subspaces
Kyungpook Mathematical Journal
2024 .09
-
$I_{\lambda}$-convergence in intuitionistic fuzzy $n$-normed linear space
ANNALS OF FUZZY MATHEMATICS AND INFORMATICS
2017 .01
-
다변량회귀에서 정보적 설명 변수 공간의 추정과 투영-재표본 정보적 설명 변수 공간 추정의 고찰
응용통계연구
2022 .10
-
On subspace-supercyclic semigroup
대한수학회논문집
2018 .01
-
REDUCING SUBSPACES FOR A CLASS OF TOEPLITZ OPERATORS ON THE BERGMAN SPACE OF THE BIDISK
대한수학회보
2015 .01
-
On lambda-submodules and locally torsion free modules
Proceedings of the Jangjeon Mathematical Society
2024 .04
-
Mass Extinction Efficiency Approximation for Polydispersed Aerosol Using Harmonic Mean-Type Approximation
극지연구소 초록집
2021 .08
이 논문의 저자 정보
최근 본 자료
댓글(0)
0