Zobrazeno 1 - 10
of 69
pro vyhledávání: '"Owen Burkinshaw"'
This monograph is a systematic exposition of the authors'research on general equi librium models with an infinite number of commodities. It is intended to serve both as a graduate text on aspects of general equilibrium theory and as an introduction
This monograph is a systematic exposition of the authors'research on general equi librium models with an infinite number of commodities. It is intended to serve both as a graduate text on aspects of general equilibrium theory and as an introduction
Publikováno v:
Macroeconomic Dynamics. 1:669-679
We present a new simple and short proof of the existence of equilibria in the classical single-sector growth model.
Publikováno v:
Positivity. 1:171-180
During the last few years the authors have studied extensively the invariant subspace problem of positive operators; see [6] for a survey of this investigation. In [4] the authors introduced the class of compact-friendly operators and proved for them
Publikováno v:
Rivista di Matematica per le Scienze Economiche e Sociali. 19:113-185
In this survey problems from the consideration of infinite dimensional commodity spaces in the Arrow-Debreu-McKenzie model are discussed. It has become clear in the last couple of decades that in order to address real policy questions, economic model
Publikováno v:
Proceedings of the American Mathematical Society. 123:1773-1777
Recently we established several invariant subspace theorems for operators acting on an l p {l_p} -space. In this note we extend these results from operators acting on an l p {l_p} -space to operators acting on any Banach space with a (not necessarily
Publikováno v:
Journal of Functional Analysis. 124(1):95-111
We establish new invariant subspace theorems for positive operators on Banach lattices. Here are three sample results. • If a quasinilpotent positive operator S dominates a non-zero compact operator K (i.e., | Kx | ≤ S | x | for each x ), then ev
Publikováno v:
Mathematische Zeitschrift. 211:593-607
Professor J.J. Grobler has kindly pointed out to us that Theorems 4.4 and 5.3 in our paper [1] are false as stated and need correction. The error in the proofs is the tacit claim that T is a nonzero positive operator. To avoid this situation, we need
Publikováno v:
Journal of Functional Analysis. 97(1):215-230
It is shown that a continuous operator T : X → X on a uniformly convex Banach space satisfies the Daugavet equation ∥ I + T ∥ = 1 + ∥ T ∥ if and only if the norm ∥ T ∥ of the operator lies in the spectrum of T . Specializing this result
Publikováno v:
Journal of Economic Theory. 50:362-380
We show that in the overlapping generations model an allocation is a Walrasian equilibrium if and only if the allocation belongs to the short-term core of every replication of the OLG economy—and hence, we establish a core equivalence theorem for t