Results 71 to 80 of about 28,594 (245)

New asymptotically isometric properties that imply the failure of the fixed point property in copies of ℓ1

Miskolc Mathematical Notes
In this study, we introduce three new notions which may occur for some Banach spaces. We call these new properties AAI1, AAI2 and AAI3 where AAI stands for “alternative asymptotically isometric”.
Shilpa Das, Veysel Nezir, Aysun Güven
doaj   +1 more source

Sectional representation of Banach modules and their multipliers

International Journal of Mathematics and Mathematical Sciences, 2003
Let X be a Banach module over the commutative Banach algebra A with maximal ideal space Δ. We show that there is a norm-decreasing representation of X as a space of bounded sections in a Banach bundle π:ℰ→Δ, whose fibers are quotient modules of X.
Terje Hõim, D. A. Robbins
doaj   +1 more source

Unified Asymptotics for Investment Under Illiquidity: Transaction Costs and Search Frictions

Mathematical Finance, EarlyView.
ABSTRACT This paper investigates the optimal investment problem in a market with two types of illiquidity: transaction costs and search frictions. We analyze a power‐utility maximization problem where an investor encounters proportional transaction costs and trades only when a Poisson process triggers trading opportunities.
Tae Ung Gang, Jin Hyuk Choi
wiley   +1 more source

Some extremal properties of section spaces of Banach bundles and their duals

International Journal of Mathematics and Mathematical Sciences, 2002
When X is a compact Hausdorff space and E is a real Banach space there is a considerable literature on extremal properties of the space C(X,E) of continuous E-valued functions on X. What happens if the Banach spaces in which the functions on X take their
D. A. Robbins
doaj   +1 more source

Macroscopic Market Making Games

Mathematical Finance, EarlyView.
ABSTRACT Building on the macroscopic market making framework as a control problem, this paper investigates its extension to stochastic games. In the context of price competition, each agent is benchmarked against the best quote offered by the others. We begin with the linear case.
Ivan Guo, Shijia Jin
wiley   +1 more source

Complemented subspaces of p-adic second dual Banach spaces

International Journal of Mathematics and Mathematical Sciences, 1995
Let K be a non-archimedean non-trivially valued complete field. In this paper we study Banach spaces over K. Some of main results are as follows: (1) The Banach space BC((l∞)1) has an orthocomplemented subspace linearly homeomorphic to c0. (2) The Banach
Takemitsu Kiyosawa
doaj   +1 more source

On Ideals in Banach Spaces

Rocky Mountain Journal of Mathematics, 2001
A subspace \(Y\) of a Banach space \(X\) is called to be an ideal in \(X\), if there is a norm one projection \(P :X^*\to X^*\) with \(Y^\perp=\text{ker }P\). By a result of \textit{Å. Lima} [Isr. Math. 84, No. 3, 451-475 (1993; Zbl 0814.46016)], this is equivalent of saying \(Y^{\perp\perp}\) is the range of a norm one projection in \(X^{**}\). In the
openaire   +2 more sources

Weak convergence of an iterative sequence for accretive operators in Banach spaces

Fixed Point Theory and Applications, 2006
Let C be a nonempty closed convex subset of a smooth Banach space E and let A be an accretive operator of C into E. We first introduce the problem of finding a point u∈C such that 〈Au,J(v−u)〉≥0 for all v∈C ...
Wataru Takahashi, Hideaki Iiduka, Koji Aoyama   +2 more
doaj   +1 more source

Multiplicity results for logarithmic double phase problems via Morse theory

Bulletin of the London Mathematical Society, EarlyView.
Abstract In this paper, we study elliptic equations of the form −divL(u)=f(x,u)inΩ,u=0on∂Ω,$$\begin{align*} -\operatorname{div}\mathcal {L}(u)=f(x,u)\quad \text{in }\Omega, \quad u=0 \quad \text{on } \partial \Omega, \end{align*}$$where divL$\operatorname{div}\mathcal {L}$ is the logarithmic double phase operator given by div|∇u|p−2∇u+μ(x)|∇u|q(e+|∇u ...
Vicenţiu D. Rădulescu, Matheus F. Stapenhorst, Patrick Winkert   +2 more
wiley   +1 more source