The von Neumann-McKenzie facet and the Jones Duality theorem in two-sector optimal growth

2012 ◽  
Vol 8 (2) ◽  
pp. 213-226 ◽  
Author(s):  
Makoto Yano
Keyword(s):  
Duality Theorem ◽  
Optimal Growth ◽  
Von Neumann

Multilane turnpike in the non-stationary input-outputeconomy with von Neumann temporary equilibrium

2020 ◽  
Vol 67 (1) ◽  
pp. 77-92
Author(s):  
Emil Panek
Keyword(s):  
Production Technology ◽  
Optimal Growth ◽  
Weak Effect ◽  
Growth Processes ◽  
Von Neumann ◽  
Temporary Equilibrium ◽  
Time Period

In the author’s earlier papers concerning asymptotic characteristics of the optimal growth processes in non-stationary Gale economies with multilane production turnpikes, it is assumed that production technology used in time period 𝑡𝑡 may also be used in the next period. Such an assumption, relevant for short periods, is difficult to justify in the longer term. The paper contains a proof of the so called ‘weak’ effect of the multilane turnpike in a non-stationary Gale economy with changing technology, where this assumption has been suspended.

scholarly journals An Optimal Lower Eigenvalue System

2011 ◽  
Vol 2011 ◽  
pp. 1-20
Author(s):  
Yingfan Liu
Keyword(s):  
Growth Factors ◽  
Lipschitz Continuity ◽  
Optimal Growth ◽  
Lower Eigenvalue ◽  
Input Output ◽  
Von Neumann ◽  
Balanced Growth ◽  
Continuity Result ◽  
Neumann Type ◽  
Eigenvalue System

An optimal lower eigenvalue system is studied, and main theorems including a series of necessary and suffcient conditions concerning existence and a Lipschitz continuity result concerning stability are obtained. As applications, solvability results to some von-Neumann-type input-output inequalities, growth, and optimal growth factors, as well as Leontief-type balanced and optimal balanced growth paths, are also gotten.

scholarly journals A C*-ALGEBRAIC FRAMEWORK FOR QUANTUM GROUPS

2003 ◽  
Vol 14 (09) ◽  
pp. 903-1001 ◽  
Author(s):  
T. MASUDA ◽  
Y. NAKAGAMI ◽  
S. L. WORONOWICZ
Keyword(s):  
Quantum Groups ◽  
General Framework ◽  
Duality Theorem ◽  
Von Neumann Algebras ◽  
Unitary Representations ◽  
General Context ◽  
Von Neumann ◽  
C Algebras ◽  
Algebraic Framework

We develop a general framework to deal with the unitary representations of quantum groups using the language of C*-algebras. Using this framework, we prove that the duality holds in a general context. This extends the framework of the duality theorem using the language of von Neumann algebras previously developed by Masuda and Nakagami.

scholarly journals On crossed products and Takai duality

1988 ◽  
Vol 31 (2) ◽  
pp. 321-330 ◽  
Author(s):  
Iain Raeburn
Keyword(s):  
Duality Theorem ◽  
Von Neumann Algebras ◽  
Crossed Products ◽  
Original Proof ◽  
Von Neumann ◽  
Universal Properties

The Takai duality theorem has proved to be a fundamental tool in the theory of crossed products of C*-algebras. It was inspired by Takesaki's duality theorem for crossed products of von Neumann algebras [7], so it is not surprising that the original proof [6] depended heavily on spatial techniques. Here we shall prove Takai's theorem by exploiting the universal properties of crossed products.

Lectures on von Neumann Algebras

2019 ◽  
Author(s):  
Serban-Valentin Stratila ◽  
Laszlo Zsido
Keyword(s):  
Von Neumann Algebras ◽  
Von Neumann
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