Skip to main content

Principles of Linear Functional Analysis

  • Chapter
Applied Functional Analysis

Part of the book series: Applied Mathematical Sciences ((AMS,volume 109))

Abstract

Linear functional analysis is based on the following two important principles:

  1. (i)

    the Hahn-Banach theorem, and

  2. (ii)

    the Baire theorem.

I love mathematics not only because it is applicable to technology but also because it is beautiful. Roszá Péter (1905–1977)

It is true that a mathematician, who is not somewhat of a poet, will never be perfect mathematician. Karl Weierstrass (1815–1897)

A mathematician, like a painter or poet, is a maker of patterns. If his patterns are more permanent than theirs, it is because they are made with ideas. Godfrey Harold Hardy (1877–1947)

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

eBook
USD 16.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 16.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 99.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 1995 Springer Science+Business Media New York

About this chapter

Cite this chapter

Zeidler, E. (1995). Principles of Linear Functional Analysis. In: Applied Functional Analysis. Applied Mathematical Sciences, vol 109. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-0821-1_3

Download citation

  • DOI: https://doi.org/10.1007/978-1-4612-0821-1_3

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4612-6913-7

  • Online ISBN: 978-1-4612-0821-1

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics