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.
이용수
초록· 키워드
오류제보하기
Consider a finite measure space $(\Ome,\Sig,\mu)$ and a Banach space $X(\mu)$ consisting of (equivalence classes of) real measurable functions defined on $\Ome$ such that $f\chi_A \in X(\mu) $ and $ \|f\chi_A \| \leq \|f\|, \ \pt f \in X(\mu), \ A \in \Sig$. We prove that if it satisfies the subsequence property, then it is an ideal of measurable functions and has an equivalent norm under which it is a Banach function space. As an application we characterize norms that are equivalent to a Banach function space norm.
목차
등록된 정보가 없습니다.
참고문헌 (11)
참고문헌 신청
M. Ciesielski / 2014 / Local monotonicity structure of symmetric spaces with applications / J. Math. Anal. Appl 409(2):649~662
Y. Deng / 2017 / Unbounded norm convergence in Banach lattices / Positivity 21(3):963~974
J. Diestel / 1995 / Absolutely Summing Operators / Cambridge University Press
P. Foralewski / 2016 / Ordered structures and applications, Trends Math / Birkhauser/Springer :203~232
D. H. Fremlin / 1974 / Topological Riesz Spaces and Measure Theory / Cambridge University Press
Y. Deng / 2017 / Unbounded norm convergence in Banach lattices / Positivity 21(3):963~974
J. Diestel / 1995 / Absolutely Summing Operators / Cambridge University Press
P. Foralewski / 2016 / Ordered structures and applications, Trends Math / Birkhauser/Springer :203~232
D. H. Fremlin / 1974 / Topological Riesz Spaces and Measure Theory / Cambridge University Press
함께 읽어보면 좋을 논문
논문 유사도에 따라 DBpia 가 추천하는 논문입니다. 함께 보면 좋을 연관 논문을 확인해보세요!
-
Some new results on hyperstability of the general linear equation in $(2,\beta)$-Banach spaces
대한수학회논문집
2018 .01
-
The K\"{u}nneth spectral sequence for complexes of Banach spaces
대한수학회지
2018 .01
-
On a class of generalized triangular norms
대한수학회논문집
2017 .01
-
G-vector-valued Sequence Space Frames
Kyungpook Mathematical Journal
2016 .01
-
Stability of -variable Additive and -variable Quadratic Functional Equations
순수 및 응용수학
2022 .05
-
HYERS-ULAM STABILITY OF DERIVATIONS IN FUZZY BANACH SPACE: REVISITED
순수 및 응용수학
2018 .01
-
Quadratic(ρ1, p2)-functional Equation in Fuzzy Banach Spaces
순수 및 응용수학
2020 .01
-
Research on normal structure in a Banach space via some parameters in its dual space
대한수학회논문집
2019 .01
-
A Banach algebra of series of functions over paths
한국수학논문집
2019 .01
-
$k-$ denting points and $k-$ smoothness of Banach spaces
한국수학논문집
2016 .01
-
Exponential stability of a class of nonlinear difference equations in Banach spaces
대한수학회논문집
2017 .01
-
Character amenability for a Banach module
Advanced Studies in Contemporary Mathematics
2016 .01
-
Multiplication operators on weighted Banach spaces of a tree
대한수학회보
2017 .01
-
BOUNDED CONVERGENCE THEOREMS
대한수학회지
2017 .01
-
On Some Skew Constants in Banach Spaces
Kyungpook Mathematical Journal
2023 .06
-
Fixed point theorems on generalized cone metric spaces over Banach algebras and applications
대한수학회지
2018 .01
-
On pseudo-amenability of C(X,A) for norm irregular A
Proceedings of the Jangjeon Mathematical Society
2022 .01
-
Liftable operators on some Banach Spaces
한국수학논문집
2015 .01
-
A NOTE ON SOLUTIONS FOR AN ITERATIVE FUNCTIONAL EQUATION IN 2-BANACH SPACES
Advanced Studies in Contemporary Mathematics
2021 .01
-
(Co)homology of a Generalized Matrix Banach Algebra
순수 및 응용수학
2023 .02
이 논문의 저자 정보
최근 본 자료
댓글(0)
0