Results 91 to 100 of about 25,291 (257)
Several Inequalities of Frechet Spaces
, 2005 Several inequalities of Frechet spaces are given in this paper, which can be regarded as the Frechet spaces versions of the well-known polarization identity occurring in Hilbert spaces. Our results generalize many inequalities in Banach spaces.
Shi, Chaofeng
core
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 +2 more
wiley +1 more source
Demonstratio Mathematica, 1997 Let \(X\) be an infinite-dimensional complex Banach space, and let \(T\) be a bounded linear operator defined on \(X\) satisfying \(\dim T^{- 1}(0)= 0\), \(\dim X/T(X)= 1\) and \(\bigcap^\infty_{n= 1}T^n(X)= \{0\}\). Such an operator is known as a shift [\textit{R. M. Crownover}, Mich. Math. J. 19, 233-247 (1972; Zbl 0228.47016)]. If \(x_0\) is a fixed
openaire +2 more sources
The Stereographic Projection in Banach Spaces
Rocky Mountain Journal of Mathematics, 2007 We give a new and direct proof of the fact that, in any infinite dimensional Banach space, the unit sphere minus any one point is homeomorphic to a closed hyperplane. The proof involves L-structures and geometric concepts as, for instance, rotund, smooth and exposed points.
García-Pacheco, Francisco J. +1 more
openaire +4 more sources
The Natural Components of a Regular Linear System
Oxford Bulletin of Economics and Statistics, EarlyView.ABSTRACT The analysis of a finite‐dimensional regular linear system may be simplified by separating the system into its natural components. The natural components are smaller linear systems on separate subspaces whose dimensions sum to the dimension of the original linear system.
Brendan K. Beare, Phil Howlett
wiley +1 more source
The Mathematical History Behind the Granger–Johansen Representation Theorem
Oxford Bulletin of Economics and Statistics, EarlyView.ABSTRACT When can a vector time series that is integrated once (i.e., becomes stationary after taking first differences) be described in error correction form? The answer to this is provided by the Granger–Johansen representation theorem. From a mathematical point of view, the theorem can be viewed as essentially a statement concerning the geometry of ...
Johannes M. Schumacher
wiley +1 more source
EMBEDDING THEOREMS IN BANACH -VALUED SOBOLEV-LIOUVILLE SPACES AND THEIR APPLICATIONS
Electrica, 2002 In this paper we introduce a Banach- valued Sobolev-Liouville spaces associated with Banach spaces E1,E and some parameters and proved continuity and compacness of embedding operators in these spaces in terms of theory interpolations of Banach spaces ...
Veli SHAKHMUROV
doaj +2 more sources
Fixed point theorems for generalized Lipschitzian semigroups in Banach spaces
International Journal of Mathematics and Mathematical Sciences, 1999 Fixed point theorems for generalized Lipschitzian semigroups are proved in p-uniformly convex Banach spaces and in uniformly convex Banach spaces. As applications, its corollaries are given in a Hilbert space, in Lp spaces, in Hardy space Hp, and in ...
Balwant Singh Thakur, Jong Soo Jung
doaj +1 more source
Haar null closed and convex sets in separable Banach spaces. [PDF]
Bull Lond Math Soc, 2023 Ravasini D.
europepmc +1 more source