Results 41 to 50 of about 854 (144)
A new proof of the equivalence of the Hahn-Banach extension and the least upper bound properties
, 1981 The paper contains a new proof of the fact that the Hahn-Banach majorized extension theorem for linear operators is valid iff the range ordered space is conditionally complete.
A. D. Ioffe
core +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
Ein operatorwertiger Hahn-Banach Satz
, 1981 We generalize Arveson's extension theorem for completely positive mappings [1] to a Hahn-Banach principle for matricial sublinear functionals with values in an injective C∗-algebra or an ideal in B(H). We characterize injective W∗-algebras by a matricial
Wittstock, Gerd
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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
Existence of Non-Trivial Bounded Functionals Implies the Hahn-Banach Extension Theorem
, 2001 We show that it is impossible to prove the existence of a linear (bounded or unbounded) functional on any L_∞/C_0 without an uncountable form of the axiom of choice.
Luxemburg, W. A. J., Väth, Martin
core
On the generalized Roper-Suffridge extension operator in Banach spaces [PDF]
, 2005 The generalized Roper-Suffridge extension operator in Banach spaces is introduced. We prove that this operator preserves the starlikeness on some domains in Banach spaces and does not preserve convexity in some cases.
Ming-Sheng Liu, Yu-Can Zhu
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Kafes Normlu Riesz Cebirleri Üzerindeki Operatörler İçin Hahn-Banach Teoremi
, 2020 msufbdX ve E Riesz cebirleri ve p:X ?E_+ monoton bir vektör normu olsun. Böylece (X, p, E) üçlüsü kafes normlu Riesz cebiri olarak adlandırılır. Bu çalışmada, Hahn-Banach teoreminin kafes normlu Riesz cebirlerindeki operatörler için genişletilmesini ...
Aydın, Abdullah
core
An extension of Ando-Krieger’s theorem to ordered Banach spaces
, 1988 In this paper it is shown that an operator defined on a suitable ordered Banach space of measurable functions by a positive, irreducible kernel is never quasi-nilpotent, thus giving an extension of Ando-Krieger’s theorem for operators defined on ordered ...
V. Caselles
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Cyclic cohomology after the excision theorem of Cuntz and Quillen [PDF]
, 2013 The excision theorem of Cuntz and Quillen established the existence of a six term exact sequence in the bivariant periodic cyclic cohomology HP*(–,–) associated with an arbitrary algebra extension 0 ? S ? P ? Q ? 0.
Jacek Brodzki, Brodzki, Jacek
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, 2011 In this paper, we present a geometric form of the Hahn-Banach extension theorem for $L^{0}-$linear functions and prove that the geometric form is equivalent to the analytic form of the Hahn-Banach extension theorem. Further, we use the geometric form to give a new proof of a known basic strict separation theorem in random locally convex modules ...
Zhao, Shien, Shi, Guang
openaire +2 more sources