scholarly journals Valuation and Optimality in Exchange Economies with a Countable Number of Agents

1991 ◽  
pp. 1-21
Author(s):  
Charalambos D. Aliprantis ◽  
Donald J. Brown ◽  
Owen Burkinshaw
Keyword(s):  
Exchange Economies ◽  
Countable Number

scholarly journals Equilibria in exchange economies with a countable number of agents

1989 ◽  
Vol 142 (1) ◽  
pp. 250-299 ◽  
Author(s):  
Charalambos D Aliprantis ◽  
Donald J Brown ◽  
Owen Burkinshaw
Keyword(s):  
Exchange Economies ◽  
Countable Number

scholarly journals Operators constructed by means of basic sequences and nuclear matrices

2019 ◽  
Vol 2019 (1) ◽  
Author(s):  
Ahmed Morsy ◽  
Nashat Faried ◽  
Samy A. Harisa ◽  
Kottakkaran Sooppy Nisar
Keyword(s):  
Banach Spaces ◽  
Compact Operators ◽  
Schauder Basis ◽  
Countable Number ◽  
Nuclear Operator ◽  
Approximation Numbers ◽  
Infinite Dimensional ◽  
Dimensional Matrix ◽  
Nuclear Operators

AbstractIn this work, we establish an approach to constructing compact operators between arbitrary infinite-dimensional Banach spaces without a Schauder basis. For this purpose, we use a countable number of basic sequences for the sake of verifying the result of Morrell and Retherford. We also use a nuclear operator, represented as an infinite-dimensional matrix defined over the space $\ell _{1}$ℓ1 of all absolutely summable sequences. Examples of nuclear operators over the space $\ell _{1}$ℓ1 are given and used to construct operators over general Banach spaces with specific approximation numbers.

Coalitional Fairness of Allocations in Pure Exchange Economies

Econometrica ◽  
1975 ◽  
Vol 43 (4) ◽  
pp. 661 ◽  
Author(s):  
Jean Jaskold-Gabszewicz
Keyword(s):  
Exchange Economies ◽  
Pure Exchange

scholarly journals The cores of large standard exchange economies

1974 ◽  
Vol 9 (3) ◽  
pp. 245-254 ◽  
Author(s):  
Donald J Brown ◽  
Abraham Robinson
Keyword(s):  
Exchange Economies
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