Banach space - Open Access .click

Results 81 to 90 of about 4,018,978 (218)

International Economic Review, EarlyView.
ABSTRACT Are firms risk averse? We propose a dynamic model of firm investment under uncertainty that captures firms' risk attitudes through quantile preferences. The firm maximizes its present value, defined as current profits and investment plus the discounted value of the τ$\tau$‐quantile of its value next period.
Heitor Almeida +3 more
wiley +1 more source

On Banach Spaces with Bases

Journal of Functional Analysis, 1996
Let $X$ be a separable Banach space and let $(U_n)$ be a sequence of linear operators $U_n: X\to X$. $(U_n)$ factors uniformly $\ell^{m_n}_p$'s with respect to $\lambda$, if there exists a sequence of positive integers $(m_n)$ and sequences of linear operators $(T_n)$, $(S_n)$, with $T_n:X\to\ell^{m_n}_p$, \(S_n:\ell^{m_n}_p\to X ...
openaire +1 more source

Relative Arbitrage Opportunities With Interactions Among N Investors

Mathematical Finance, EarlyView.
ABSTRACT The relative arbitrage portfolio outperforms a benchmark portfolio over a given time‐horizon with probability one. With market price of risk processes depending on the market portfolio and investors, this paper analyzes the multi‐agent optimization of relative arbitrage opportunities in the coupled system of market and wealth dynamics.
Tomoyuki Ichiba, Nicole Tianjiao Yang
wiley +1 more source

A Study of Birkhoff Orthogonal Sets in Smooth Banach Spaces

Journal of Harbin University of Science and Technology
Referring to the definition of orthogonal set in inner product space，the concept of Birkhoff orthogonal set is introduced in finite-dimensional real Banach spaces，and the problem of whether there exists a Birkhoff orthogonal set whose number of ...
WANG Xiaomei, JI Donghai
doaj +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

The Bregman–Opial Property and Bregman Generalized Hybrid Maps of Reflexive Banach Spaces

Mathematics, 2020
The Opial property of Hilbert spaces is essential in many fixed point theorems of non-expansive maps. While the Opial property does not hold in every Banach space, the Bregman–Opial property does.
Eskandar Naraghirad, Luoyi Shi, Ngai-Ching Wong +2 more
doaj +1 more source

The Optimal Mean–Variance Selling Problem With Finite Horizon

Mathematical Finance, EarlyView.
ABSTRACT The optimal mean–variance selling problem seeks to determine a dynamically optimal stopping time in the nonlinear problem sup0≤τ≤TE(Xτ)−cVar(Xτ)$\sup _{0 \le \tau \le T} \left[ \mathsf {E}\,\!(X_\tau) - c\, \mathsf {V}ar\,\!(X_\tau) \right]$, where X$X$ is a geometric Brownian motion with strictly positive drift, the supremum is taken over ...
Peter Johnson, Jesper Lund Pedersen, Goran Peskir +2 more
wiley +1 more source

Pruitt’s Estimates in Banach Space [PDF]

Journal of Theoretical Probability, 2009
Pruitt's estimates on the expectation and the distribution of the time taken by a random walk to exit a ball of radius r are extended to the infinite dimensional setting. It is shown that they separate into two pairs of estimates depending on whether the space is type 2 or cotype 2.
openaire +2 more sources

Risk Measure Duality Without Structure

Mathematical Finance, EarlyView.
ABSTRACT We study risk measures on vector spaces of random variables which a priori have little structure, such as spaces lacking law invariance or a lattice structure. Ensuring the existence of a tractable dual representation (one which does not contain non‐sigma‐additive measures) is one of the main problems in risk measure theory, and we address it ...
Vasily Melnikov
wiley +1 more source

A weakly Stegall space that is not a Stegall space [PDF]

, 2002
A topological space X is said to belong to the class of Stegall (weakly Stegall) spaces if for every Baire (complete metric) space B and minimal usco φ : B2X, φ is single-valued at some point of B.
Moors, Warren B. +3 more
core +1 more source

mathematics