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About: Hilbert Spaces

Module by: Justin Romberg. E-mail the author

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Name: Hilbert Spaces
ID: m10840
Language: English (en)
Summary: This module will provide an introduction to the concepts of Hilbert spaces.
Subject: Science and Technology
Keywords: hilbert, hilbert spaces, inner, inner product
License: Creative Commons Attribution License CC-BY 3.0

Authors: Justin Romberg (
Copyright Holders: Justin Romberg (
Maintainers: Justin Romberg (, Richard Baraniuk (, Michael Haag (, Mariyah Poonawala (, Prashant Singh (, Matthew Moravec (

Latest version: 2.7 (history)
First publication date: Sep 4, 2002 7:00 pm -0500
Last revision to module: Dec 26, 2013 4:28 pm -0600


PDF: m10840_2.7.pdf PDF file, for viewing content offline and printing. Learn more.
XML: m10840_2.7.cnxml XML that defines the structure and contents of the module, minus any included media files. Can be reimported in the editing interface. Learn more.

Version History

Version: 2.7 Dec 26, 2013 4:28 pm -0600 by Collins Williamson
added moravec as maintainer

Version: 2.6 Jul 29, 2010 2:34 pm -0500 by Collins Williamson
2010 update

Version: 2.5 Oct 1, 2009 9:39 pm -0500 by Richard Baraniuk
added google analytics tracking code

Version: 2.4 Jun 23, 2005 9:05 pm -0500 by Charlet Reedstrom
update to cnxml-0.5, wrap msub in ci, fix typo

Version: 2.3 Jun 2, 2004 4:16 pm -0500 by Harika Basana
links added

Version: 2.2 Jul 9, 2003 2:05 pm -0500 by Charlet Reedstrom

Version: 2.1 Sep 5, 2002 12:00 am -0500 by (Unknown)
Created new module and added link.

Version: 2.0 Sep 5, 2002 12:00 am -0500 by (Unknown)
Added initial template for new module m10840

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How to Cite and Attribute This Content

The following citation styles comply with the attribution requirements for the license (CC-BY 3.0) of this work:

American Chemical Society (ACS) Style Guide:

Romberg, J. Hilbert Spaces, OpenStax_CNX Web site., Dec 26, 2013.

American Medical Assocation (AMA) Manual of Style:

Romberg J. Hilbert Spaces [OpenStax_CNX Web site]. December 26, 2013. Available at:

American Psychological Assocation (APA) Publication Manual:

Romberg, J. (2013, December 26). Hilbert Spaces. Retrieved from the OpenStax_CNX Web site:

Chicago Manual of Style (Bibliography):

Romberg, Justin. "Hilbert Spaces." OpenStax_CNX. December 26, 2013.

Chicago Manual of Style (Note):

Justin Romberg, "Hilbert Spaces," OpenStax_CNX, December 26, 2013,

Chicago Manual of Style (Reference, in Author-Date style):

Romberg, J. 2013. Hilbert Spaces. OpenStax_CNX, December 26, 2013.

Modern Languages Association (MLA) Style Manual:

Romberg, Justin. Hilbert Spaces. OpenStax_CNX. 26 Dec. 2013 <>.