Results 51 to 60 of about 1,131,073 (219)

On the WM property of Orlicz sequence spaces endowed with the Orlicz norm [PDF]

, 1997
summary:We obtain the criterion of the WM property for Orlicz sequence spaces endowed with the Orlicz ...
Cuixia, Hao, Tingfu, Wang, Baoxiang, Wang   +2 more
core  

On Orlicz-Power series spaces

, 2010
In this manuscript, we investigate the isomorphisms of Orlicz-Kothe sequence spaces and quasidiagonal isomorphisms of Cartesian products of Orlicz-power series ...
Zakharyuta, Vyacheslav, Karapınar, Erdal, Karapinar, Erdal   +2 more
core   +2 more sources

Rotundity of Orlicz Spaces

Indagationes Mathematicae (Proceedings), 1976
AbstractRotund Orlicz spaces and Orlicz spaces that contain isomorphic copies of l∘ and co are characterized in the class of Orlicz spaces over measure spaces that are not purely atomic.
openaire   +2 more sources

Risk Measure Duality Without Structure

Mathematical Finance, EarlyView.
ABSTRACT We study risk measures on vector spaces of random variables which a priori have little structure, such as spaces lacking law invariance or a lattice structure. Ensuring the existence of a tractable dual representation (one which does not contain non‐sigma‐additive measures) is one of the main problems in risk measure theory, and we address it ...
Vasily Melnikov
wiley   +1 more source

Maximal function and generalized fractional integral operators on the weighted Orlicz-Lorentz-Morrey spaces

Open Mathematics
We define the weighted Orlicz-Lorentz-Morrey and weak weighted Orlicz-Lorentz-Morrey spaces to generalize the Orlicz spaces, the weighted Lorentz spaces, the Orlicz-Lorentz spaces, and the Orlicz-Morrey spaces.
Li Hongliang
doaj   +1 more source

Locally Nearly Uniformly Convex Points in Orlicz Spaces Equipped with the Luxemburg Norm

Axioms
This research explores two novel geometric concepts—nearly convex points and locally nearly uniformly convex points within the frameworks of Banach spaces and Orlicz spaces equipped with the Luxemburg norm.
Yunan Cui, Xiaoxia Wang, Yaoming Niu
doaj   +1 more source

Large Covariance Matrix Estimation by Penalized Log‐Det Heuristics

Statistical Analysis and Data Mining: An ASA Data Science Journal, Volume 19, Issue 5, October 2026.
ABSTRACT We study covariance estimation in high‐dimensional approximate factor models with a sparse residual covariance. The estimator combines a log‐det loss with nuclear‐norm and off‐diagonal ℓ1$$ {\mathrm{\ell}}_1 $$ penalties on a sample‐normalized covariance scale.
Enrico Bernardi, Matteo Farnè
wiley   +1 more source

Amenability Constants for Unconditional Sums of Banach Algebras

Mathematische Nachrichten, Volume 299, Issue 9, Page 2472-2494, September 2026.
ABSTRACT We study Johnson amenability for unconditional direct sums of Banach algebras. Given a family (Ai)i∈I$(A_i)_{i\in I}$ of Banach algebras and a Banach sequence lattice E$E$ on I$I$, the E$E$‐sum ⨁i∈IAiE${\bigl (\bigoplus _{i\in I} A_i\bigr)}_{\!E}$ carries a natural Banach algebra structure via coordinatewise multiplication.
Tomasz Kania, Jerzy Ka̧kol
wiley   +1 more source

On the uniformly normal structure of Orlicz spaces with Orlicz norm [PDF]

, 1993
summary:We prove that in Orlicz spaces endowed with Orlicz norm the uniformly normal structure is equivalent to the ...
Wang, Tingfu, Shi, Zhongrui
core  

Well‐posedness of heat equations with nonlinearities of arbitrarily rapid growth

Proceedings of the London Mathematical Society, Volume 133, Issue 3, September 2026.
Abstract We address local‐ and global‐in‐time well‐posedness of the Cauchy problem for nonlinear heat equations without imposing growth rate restrictions on the nonlinearity a priori. Our results constitute a nontrivial expansion of the classical Lq$L^q$‐theory for nonlinearities dominated by polynomial growth and the exponential‐Orlicz space theory ...
Yohei Fujishima, Kotaro Hisa, Robert Laister   +2 more
wiley   +1 more source