Results 141 to 150 of about 4,750,686 (295)
Representations of a semisimple Lie group on a Banach space. I [PDF]
, 1953 Harish-chandra Harish-Chandra
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Weak sequential convergence in the dual of a Banach space does not imply norm convergence
, 1975 We shall prove that for every infinite-,limensional Banach space E there is, a sequence in E' , the dual space, which tends to 0 in the weak topology a (E', E) but not in the norm topology. This is well known for separable or reflexive Banach spaces. See
Bengt Josefson
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Improved Gevrey‐1 Estimates of Formal Series Expansions of Center Manifolds
Studies in Applied Mathematics, Volume 154, Issue 6, June 2025.ABSTRACT In this paper, we show that the coefficients ϕn$\phi _n$ of the formal series expansions ∑n=1∞ϕnxn∈xC[[x]]$\sum _{n=1}^\infty \phi _n x^n\in x\mathbb {C}[[x]]$ of center manifolds of planar analytic saddle‐nodes grow like Γ(n+a)$\Gamma (n+a)$ (after rescaling x$x$) as n→∞$n\rightarrow \infty$.
Kristian Uldall Kristiansen
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Reflexive Banach spaces not isomorphic to uniformly convex spaces [PDF]
, 1941 Mahlon M. Day
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Journal of Functional Analysis, 1996 AbstractWe show that a Banach spaceXhas a basis provided there are bounded linear finite rank operatorsRn: X→Xsuch that limnRnx=xfor allx∈X,RmRn=Rmin(m, n)ifm≠n, andRn−Rn−1factors uniformly throughlmnp's for somep. As an application we obtain conditions on a subsetΛ⊂Zsuch thatCΛ=closedspan{zk:k∈Λ}⊂C(T) andLΛ=closedspan{zk:k∈Λ}⊂L1(T) have bases.
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Conditional Aalen–Johansen estimation
Scandinavian Journal of Statistics, Volume 52, Issue 2, Page 873-902, June 2025.Abstract The conditional Aalen–Johansen estimator, a general‐purpose nonparametric estimator of conditional state occupation probabilities, is introduced. The estimator is applicable for any finite‐state jump process and supports conditioning on external as well as internal covariate information.
Martin Bladt, Christian Furrer
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Discrete subgroups of normed spaces are free
Bulletin of the London Mathematical Society, Volume 57, Issue 6, Page 1650-1655, June 2025.Abstract Ancel, Dobrowolski and Grabowski (Studia Math. 109 (1994): 277–290) proved that every countable discrete subgroup of the additive group of a normed space is free Abelian, hence isomorphic to the direct sum of a certain number of copies of the additive group of the integers.
Tomasz Kania, Ziemowit Kostana
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A New Characterization of k-Uniformly Rotund Banach Space
Journal of Function Spaces, 2015 A new characterization of k-uniformly rotund Banach space with ...
Suyalatu Wulede, Tingting Li, Xuan Qin
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