Zobrazeno 1 - 10
of 326
pro vyhledávání: '"47l20"'
In this work we define a class of injective-type norm on tensor products through the environment of sequence classes. Examples and results on this norm will be presented and the duality is studied in this context. As a byproduct, we present the defin
Externí odkaz:
http://arxiv.org/abs/2411.06938
Autor:
Laustsen, Niels Jakob, Smith, James
We study the lattice of closed ideals of bounded operators on two families of Banach spaces: the Baernstein spaces $B_p$ for $1
Externí odkaz:
http://arxiv.org/abs/2410.12666
Autor:
Achour, Dahmane, Dahia, Elhadj
In this paper, we present and characterize the injective hull of a two-Lipschitz operator ideals and the definition of two-Lipschitz dual operator ideal. Also we introduce two methods for creating ideals of two-Lipschitz operators from a pair of Lips
Externí odkaz:
http://arxiv.org/abs/2312.03104
Autor:
An, Congpei, Ran, Jiashu
This paper considers the so-called concept of hyperinterpolation-class, i.e., the set of all operators derived from the hyperinterpolation operator on the unit sphere. Concretely, we select four different elements in the hyperinterpolation-class, nam
Externí odkaz:
http://arxiv.org/abs/2404.00523
This article intends to initiate an investigation into the structure of $M$-ideals in $H^\infty(\mathbb{D})$, where $H^\infty(\mathbb{D})$ denotes the Banach algebra of all bounded analytic functions on the open unit disc $\mathbb{D}$ in $\mathbb{C}$
Externí odkaz:
http://arxiv.org/abs/2403.16947
The main result is that the only non trivial closed ideal in the Banach algebra $L(L^p)$ of bounded linear operators on $L^p(0,1)$, $1\le p < \infty$, that has a left approximate identity is the ideal of compact operators. The algebra $L(L^1)$ has at
Externí odkaz:
http://arxiv.org/abs/2402.13438
Autor:
Botelho, Geraldo, Santiago, Ariel S.
It is well known that weakly $p$-summable sequences in a Banach space $E$ are associated to bounded operators from $\ell_{p^*}$ to $E$, and unconditionally $p$-summable sequences in $E$ are associated to compact operators from $\ell_{p^*}$ to $E$. Ge
Externí odkaz:
http://arxiv.org/abs/2402.04496
We introduce and explore the concept of positive ideals for both linear and multilinear operators between Banach lattices. This paper delineates the fundamental principles of these new classes and provides techniques for constructing positive multi-i
Externí odkaz:
http://arxiv.org/abs/2402.00618
Let $X$ be a complex Banach space. We prove that if $L$ is an extremally disconnected compact Hausdorff topological space, then the pair $(X, C(L))$ satisfies the Bishop-Phelps-Bollob\'as property (BPBp for short). As a byproduct, we obtain the BPBp
Externí odkaz:
http://arxiv.org/abs/2401.16135
Autor:
Lechner, Richard, Speckhofer, Thomas
A Haar system Hardy space is the completion of the linear span of the Haar system $(h_I)_I$, either under a rearrangement-invariant norm $\|\cdot \|$ or under the associated square function norm \begin{equation*} \Bigl\| \sum_Ia_Ih_I \Bigr\|_{*} = \B
Externí odkaz:
http://arxiv.org/abs/2310.10572