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About: Hilbert Spaces

Module by: Phil Schniter. E-mail the author

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Name: Hilbert Spaces
ID: m10434
Language: English (en)
Summary: This module introduces Hilbert spaces.
Subject: Mathematics and Statistics, Science and Technology
Keywords: Chaucy, complete, convergence, inner product, inner product space, orthogonal complement
Document Type: -//CNX//DTD CNXML 0.5 plus MathML//EN
License: Creative Commons Attribution License CC-BY 1.0
Authors: Phil Schniter (schniter@ece.osu.edu)
Copyright Holders: Phil Schniter (schniter@ece.osu.edu)
Maintainers: Charlet Reedstrom (charlet@rice.edu), Adan Galvan (agalvan@gmail.com), Phil Schniter (schniter@ece.osu.edu)
Latest version: 2.11 (history)
First publication date: Jan 7, 2002 12:00 am US/Central
Last revision to module: Sep 30, 2005 8:17 pm GMT-5

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Version History

Version: 2.11 Sep 30, 2005 8:17 pm GMT-5 by Charlet Reedstrom
Changes: 
fix typo, update mathml markup, foreign tags
Version: 2.10 Jun 9, 2005 1:45 pm GMT-5 by Elizabeth Gregory
Changes: 
Updated from CNXML 0.4 to CNXML 0.5
Version: 2.9 Jan 17, 2003 12:00 am US/Central by (Unknown)
Changes: 
changed to proper xor markup
Version: 2.8 Jan 15, 2003 12:00 am US/Central by (Unknown)
Changes: 
added material in m10435, fixed math errors
Version: 2.7 Dec 19, 2002 12:00 am US/Central by (Unknown)
Changes: 
change the metadata part.
Liqun
Version: 2.6 Nov 12, 2002 12:00 am US/Central by (Unknown)
Changes: 
finish the correction.
Liqun
Version: 2.5 Jul 29, 2002 12:00 am GMT-5 by (Unknown)
Changes: 
Audited module, upgraded to 0.4.
Version: 2.4 Mar 4, 2002 12:00 am US/Central by (Unknown)
Changes: 
made certain that it prints
Version: 2.3 Mar 1, 2002 12:00 am US/Central by (Unknown)
Changes: 
edited ci type=vector for subscripted variables and norm
Version: 2.2 Jan 28, 2002 12:00 am US/Central by (Unknown)
Changes: 
replaces presentation for norm with csymbol tag and changed forall eqns to be correct even though they look bad now
Version: 2.1 Jan 18, 2002 12:00 am US/Central by (Unknown)
Changes: 
new module for Ohio State course
Version: 2.0 Jan 7, 2002 12:00 am US/Central by (Unknown)
Changes: 
Added initial template for new module m10434

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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 1.0) of this work:

American Chemical Society (ACS) Style Guide:

Schniter, P. Hilbert Spaces, Connexions Web site. http://cnx.org/content/m10434/2.11/, Sep 30, 2005.

American Medical Assocation (AMA) Manual of Style:

Schniter P. Hilbert Spaces [Connexions Web site]. September 30, 2005. Available at: http://cnx.org/content/m10434/2.11/.

American Psychological Assocation (APA) Publication Manual:

Schniter, P. (2005, September 30). Hilbert Spaces. Retrieved from the Connexions Web site: http://cnx.org/content/m10434/2.11/

Chicago Manual of Style (Bibliography):

Schniter, Phil. "Hilbert Spaces." Connexions. September 30, 2005. http://cnx.org/content/m10434/2.11/.

Chicago Manual of Style (Note):

Phil Schniter, "Hilbert Spaces," Connexions, September 30, 2005, http://cnx.org/content/m10434/2.11/.

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

Schniter, P. 2005. Hilbert Spaces. Connexions, September 30, 2005. http://cnx.org/content/m10434/2.11/.

Modern Languages Association (MLA) Style Manual:

Schniter, Phil. Hilbert Spaces. Connexions. 30 Sep. 2005 <http://cnx.org/content/m10434/2.11/>.