Zobrazeno 1 - 10
of 221
pro vyhledávání: '"ORTHOGONALLY ADDITIVE POLYNOMIALS"'
We say that a Banach algebra A has $k$-orthogonally additive property ($k$-OA property, for short) if every orthogonally additive k-homogeneous polynomial $P:\mathcal{A}\to \mathbb{C}$ can be expressed in the standard form $P(x)=\langle \gamma,x^k\ra
Externí odkaz:
http://arxiv.org/abs/2409.09711
Autor:
Kusraeva, Z.A.
Publikováno v:
In Journal of Mathematical Analysis and Applications 15 March 2023 519(2)
We provide two new characterizations of bounded orthogonally additive polynomials from a uniformly complete vector lattice into a convex bornological space using separately two polynomial identities of Kusraeva involving the root mean power and the g
Externí odkaz:
http://arxiv.org/abs/2012.13124
Let $\mathcal{M}$ be a von Neumann algebra with a normal semifinite faithful trace $\tau$. We prove that every continuous $m$-homogeneous polynomial $P$ from $L^p(\mathcal{M},\tau)$, with $0
Externí odkaz:
http://arxiv.org/abs/1903.10192
Autor:
Buskes, Gerard, Schwanke, Christopher
We derive formulas for characterizing bounded orthogonally additive polynomials in two ways. Firstly, we prove that certain formulas for orthogonally additive polynomials derived in \cite{Kusa} actually characterize them. Secondly, by employing compl
Externí odkaz:
http://arxiv.org/abs/1803.07361
We study the space of orthogonally additive $n$-homogeneous polynomials on $C(K)$. There are two natural norms on this space. First, there is the usual supremum norm of uniform convergence on the closed unit ball. As every orthogonally additive $n$-h
Externí odkaz:
http://arxiv.org/abs/1807.02713
Let $G$ be a compact group, let $X$ be a Banach space, and let $P\colon L^1(G)\to X$ be an orthogonally additive, continuous $n$-homogeneous polynomial. Then we show that there exists a unique continuous linear map $\Phi\colon L^1(G)\to X$ such that
Externí odkaz:
http://arxiv.org/abs/1802.00239
Let $X$ and $Y$ be Banach spaces, let $\mathcal{A}(X)$ stands for the algebra of approximable operators on $X$, and let $P\colon\mathcal{A}(X)\to Y$ be an orthogonally additive, continuous $n$-homogeneous polynomial. If $X^*$ has the bounded approxim
Externí odkaz:
http://arxiv.org/abs/1802.00238
Publikováno v:
In Journal of Mathematical Analysis and Applications 1 April 2019 472(1):285-302
Autor:
Kusraeva, Z.A.
Publikováno v:
In Journal of Mathematical Analysis and Applications 1 February 2018 458(1):767-780