Results 41 to 50 of about 7,970 (116)
The Granger–Johansen representation theorem for integrated time series on Banach space
Journal of Time Series Analysis, Volume 46, Issue 3, Page 432-457, May 2025.We prove an extended Granger–Johansen representation theorem (GJRT) for finite‐ or infinite‐order integrated autoregressive time series on Banach space. We assume only that the resolvent of the autoregressive polynomial for the series is analytic on and inside the unit circle except for an isolated singularity at unity.
Phil Howlett +4 more
wiley +1 more source
Journal of Functional Analysis, 1977 AbstractLet (Ω, τ, M) be a nonatomic separable finite measure space. Every continuous functional N on Lp(m), 1 ⩽ p < ∞, which is disjointly additive in the sense N(u + v) = N(u) + N(v) whenever uv = 0, is known to be representable by an integral with a nonlinear Caratheodory kernel.
Marcus, Moshe, Mizel, Victor J
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Differentiations of operator algebras over non-archimedean fields [PDF]
, 2012 Differentiations of operator algebras over non-archimedean spherically complete fields are investigated. Theorems about a differentiation being internal are demonstrated.Comment: 24 pages, sections 1 and 2.1-2.4 slightly corrected, results ...
Ludkovsky, S. V.
core
On linearization and uniqueness of preduals
Mathematische Nachrichten, Volume 298, Issue 3, Page 955-975, March 2025.Abstract We study strong linearizations and the uniqueness of preduals of locally convex Hausdorff spaces of scalar‐valued functions. Strong linearizations are special preduals. A locally convex Hausdorff space F(Ω)$\mathcal {F}(\Omega)$ of scalar‐valued functions on a nonempty set Ω$\Omega$ is said to admit a strong linearization if there are a ...
Karsten Kruse
wiley +1 more source
A HAHN-BANACH EXTENSION THEOREM FOR ENTIRE FUNCTIONS OF NUCLEAR TYPE
Journal of the Korean Mathematical Society, 2004 Let \(E\) be a nuclear space and \(F\) be a Banach space, both over the complex numbers. Let \(f\) be a holomorphic map from \(E\) to \(F\). It is shown that \(f\) is of uniformly bounded type if and only if, for an arbitrary locally convex space \(G\) containing \(E\) as a closed subspace, \(f\) can be extended to a holomorphic map from \(F\) to \(G\).
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Averaging multipliers on locally compact quantum groups
Journal of the London Mathematical Society, Volume 111, Issue 3, March 2025.Abstract We study an averaging procedure for completely bounded multipliers on a locally compact quantum group with respect to a compact quantum subgroup. As a consequence we show that central approximation properties of discrete quantum groups are equivalent to the corresponding approximation properties of their Drinfeld doubles.
Matthew Daws +2 more
wiley +1 more source
Mathematische Nachrichten, Volume 298, Issue 2, Page 456-477, February 2025.Abstract We give a simple construction of the log‐convex minorant of a sequence {Mα}α∈N0d$\lbrace M_\alpha \rbrace _{\alpha \in \mathbb {N}_0^d}$ and consequently extend to the d$d$‐dimensional case the well‐known formula that relates a log‐convex sequence {Mp}p∈N0$\lbrace M_p\rbrace _{p\in \mathbb {N}_0}$ to its associated function ωM$\omega _M$, that
Chiara Boiti +3 more
wiley +1 more source
Arveson's extension theorem in *-algebras
, 2013 Arveson's extension theorem asserts that B(H) is an injective object in the category of operator systems. Calling every self adjoint unital subspace of a unital *-algebra, a quasi operator system, we show that Arveson's theorem remains valid in the much ...
Esslamzadeh, G. H., Turowska, L.
core
Random Structures &Algorithms, Volume 66, Issue 1, January 2025.Abstract The entropic doubling σent[X]$$ {\sigma}_{\mathrm{ent}}\left[X\right] $$ of a random variable X$$ X $$ taking values in an abelian group G$$ G $$ is a variant of the notion of the doubling constant σ[A]$$ \sigma \left[A\right] $$ of a finite subset A$$ A $$ of G$$ G $$, but it enjoys somewhat better properties; for instance, it contracts upon ...
Ben Green, Freddie Manners, Terence Tao
wiley +1 more source
On the New Hahn Sequence Space h(2)
Abstract and Applied Analysis, Volume 2025, Issue 1, 2025.This paper investigates the properties and structural characteristics of the new Hahn sequence space defined by using the second‐order forward difference operator. First, we introduce the new Hahn sequence space: h2=x=xl∈ω:∑l=1∞l+1 Δ2xl<∞, liml→∞xl=0, of order two. Then, we show some topological properties of this new sequence space h(2), and calculate
Orhan Tuğ, Alberto Fiorenza
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