The New Palgrave Dictionary of Economics

2018 Edition
| Editors: Macmillan Publishers Ltd

Functional Analysis

  • Leonid Kantorovich
  • Victor Polterovich
Reference work entry


A branch of mathematics mainly concerned with infinite-dimensional vector spaces and their maps, functional analysis is so called because elements (points) of certain important specific spaces are functions. The necessity of considering infinite-dimensional models arises in economics in many problems, including assessment of random effects in a situation with an infinite number of natural states; study of effects arising from a ‘very large’ number of participants; problems of spatial economics; study of economic development in continuous time, in particular, with due regard for lags; economic growth on an infinite time interval; and the influence of commodity differentiation on exchange processes.


Competition models Competitive equilibrium Economic growth in the very long run Extension principle Fixed-point theorems Functional analysis Global analysis Hyperplanes Infinite-dimensional models Kakutani theorem Mathematical economics Measure theory Monopolistic competition Openness principle Product differentiation Separation theorems Spatial economics Spectral analysis Uniform boundedness principle 

JEL Classifications

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Copyright information

© Macmillan Publishers Ltd. 2018

Authors and Affiliations

  • Leonid Kantorovich
    • 1
  • Victor Polterovich
    • 1
  1. 1.