Infinite Spaces: Kevin Barry’s Lives of Quiet Desperation

INFINITE-HORIZON OPTIMAL HEDGING UNDER CONE CONSTRAINTS by KEVIN

We address the issue of hedging in in nite horizon markets under cone constraints on the number of shares of assets. We show that the minimum cost of hedging a liability stream is equal to its largest present value with respect to admissible stochastic discount factors, thus can be determined without nding an optimal hedging strategy. We develop an algorithm by which an optimal portfolio in one...

Infinite dimensional Teichmüller spaces

some properties of fuzzy hilbert spaces and norm of operators

in this thesis, at first we investigate the bounded inverse theorem on fuzzy normed linear spaces and study the set of all compact operators on these spaces. then we introduce the notions of fuzzy boundedness and investigate a new norm operators and the relationship between continuity and boundedness. and, we show that the space of all fuzzy bounded operators is complete. finally, we define...

Infinite swapping in curved spaces.

We develop an extension of the infinite swapping and partial infinite swapping techniques [N. Plattner, J. D. Doll, P. Dupuis, H. Wang, Y. Liu, and J. E. Gubernatis, J. Chem. Phys. 135, 134111 (2011)] to curved spaces. Furthermore, we test the performance of infinite swapping and partial infinite swapping in a series of flat spaces characterized by the same potential energy surface model. We de...

On Infinite Dimensional Linear Spaces.

Let X be an abstract linear space and let X* be the space of all linear functionals defined on X. Associated with each norm defined on X is its "norm set," the subspace L of X* consisting of those linear functionals which are continuous with respect to it. Our starting point is the observation that two norms in X define the same topology if and only if their norm sets are identical. This observ...