On two definitions of a narrow operator on Köthe–Bochner spaces
Sign Up to like & getrecommendations! Published in 2018 at "Archiv der Mathematik"
DOI: 10.1007/s00013-018-1172-2
Abstract: We prove that for a Köthe–Banach space E with an order continuous norm over a finite atomless measure space $$(\Omega ,\Sigma ,\mu )$$(Ω,Σ,μ) and for Banach spaces X, Y, the classes of narrow and weakly functionally… read more here.
Keywords: banach space; space; two definitions; definitions narrow ... See more keywords
Strong Laws of Large Numbers for Double Sums of Banach Space Valued Random Elements
Sign Up to like & getrecommendations! Published in 2019 at "Acta Mathematica Sinica, English Series"
DOI: 10.1007/s10114-019-8058-5
Abstract: For a double array {Vm,n,m ≥ 1, n ≥ 1} of independent, mean 0 random elements in a real separable Rademacher type p (1 ≤ p ≤ 2) Banach space and an increasing double array… read more here.
Keywords: large numbers; random elements; banach space; leq leq ... See more keywords
Notes on Real Interpolation of Operator Lp-Spaces
Sign Up to like & getrecommendations! Published in 2021 at "Acta Mathematica Scientia"
DOI: 10.1007/s10473-021-0622-2
Abstract: Let $${\cal M}$$ ℳ be a semifinite von Neumann algebra. We equip the associated non-commutative L p -spaces with their natural operator space structure introduced by Pisier via complex interpolation. On the other hand, for… read more here.
Keywords: banach space; cal ell; space; cal cal ... See more keywords
Operator-valued Fourier–Haar multipliers on vector-valued $${L^1}$$ spaces II: a characterisation of finite dimensionality
Sign Up to like & getrecommendations! Published in 2020 at "Positivity"
DOI: 10.1007/s11117-020-00797-z
Abstract: A necessary and sufficient condition is given to ensure the boundedness of Fourier–Haar multiplier operators from $$L^1 ([0, 1], X)$$ to $$L^1 ([0, 1], Y)$$ , where X is an arbitrary finite dimensional Banach space… read more here.
Keywords: banach space; fourier haar; space; finite dimensionality ... See more keywords
Maps with the Radon–Nikodým Property
Sign Up to like & getrecommendations! Published in 2018 at "Set-Valued and Variational Analysis"
DOI: 10.1007/s11228-017-0428-5
Abstract: We study dentable maps from a closed convex subset of a Banach space into a metric space as an attempt of generalize the Radon-Nikodým property to a “less linear” frame. We note that a certain… read more here.
Keywords: banach space; space; radon nikod; convex ... See more keywords
A Semigroup Approach to Fractional Poisson Processes
Sign Up to like & getrecommendations! Published in 2018 at "Complex Analysis and Operator Theory"
DOI: 10.1007/s11785-018-0763-z
Abstract: It is well-known that fractional Poisson processes (FPP) constitute an important example of a non-Markovian structure. That is, the FPP has no Markov semigroup associated via the customary Chapman–Kolmogorov equation. This is physically interpreted as… read more here.
Keywords: banach space; alpha alpha; poisson processes; semigroup approach ... See more keywords
Banach-Space Operators Acting on Semicircular Elements Induced by Orthogonal Projections
Sign Up to like & getrecommendations! Published in 2019 at "Complex Analysis and Operator Theory"
DOI: 10.1007/s11785-019-00951-w
Abstract: The main purposes of this paper are (i) to construct-and-study weighted-semicircular elements from mutually orthogonal $$\left| \mathbb {Z} \right| $$ -many projections, and the Banach $$*$$ -probability space $$\mathbb {L}_{Q}$$ generated by these operators, (ii)… read more here.
Keywords: operators acting; banach space; space; projections banach ... See more keywords
Unifying semilocal and local convergence of Newton's method on Banach space with a convergence structure
Sign Up to like & getrecommendations! Published in 2017 at "Applied Numerical Mathematics"
DOI: 10.1016/j.apnum.2017.01.008
Abstract: Abstract We present a semilocal and local convergence analysis of Newton's method on a Banach space with a convergence structure to locate zeros of operators. P. Meyer introduced the concept of a Banach space with… read more here.
Keywords: space convergence; banach space; newton method; convergence ... See more keywords
COARSE AND UNIFORM EMBEDDINGS.
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Functional Analysis"
DOI: 10.1016/j.jfa.2016.12.005
Abstract: Abstract In these notes, we study the relation between uniform and coarse embeddings between Banach spaces as well as uniform and coarse equivalences. In order to understand these relations better, we look at the problem… read more here.
Keywords: coarse uniform; banach space; coarse; uniform embeddings ... See more keywords
The injective and surjective hulls of the ideal of (p,q)-compact operators and their approximation properties
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2018.12.035
Abstract: Abstract Let 1 ≤ p , q ≤ ∞ with 1 / p + 1 / q ≥ 1 . We establish the isometric representations of the injective hull K i n j p ,… read more here.
Keywords: injective surjective; banach space; ideal compact; compact operators ... See more keywords
The Grauert–Oka principle in a Banach space
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2020.124711
Abstract: Abstract Let M be a Stein Banach manifold modeled on a separable Banach space with the bounded approximation property, Γ → M a (locally trivial) holomorphic Banach Lie group bundle over M, and O Γ… read more here.
Keywords: banach space; grauert oka; principle banach; oka principle ... See more keywords