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• Books:Warwick 2014 Lecture Notes - Functional Analysis - Richard Sharp
  471 B (68 words) - 18:56, 28 October 2016

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• Homeomorphism
  ==Notes== ...{{M|(Y,d')}} they are said to be ''homeomorphic''<ref name="FA">Functional Analysis - George Bachman Lawrence Narici</ref> if:
  5 KB (731 words) - 22:58, 22 February 2017
• Injection
  ...th> are mapped to the same thing in <math>Y</math>. That is<ref name="API">Analysis: Part 1 - Elements - Krzysztof Maurin</ref>: ==Notes==
  3 KB (463 words) - 21:50, 8 May 2018
• Open ball
  * Very common in lecture notes, less common in books (weirdly) ==Notes about open-ness==
  4 KB (842 words) - 02:00, 29 November 2015
• Metric space
  * <math>d:X\times X\rightarrow\mathbb{R}_+</math><ref name="Analysis">Analysis - Part 1: Elements - Krzysztof Maurin</ref>, Note that here I prefer the no ====Notes====
  2 KB (336 words) - 06:07, 27 November 2015
• Nabla
  ==Notes (other forms seen)== I've seen a book (Vector Analysis and Cartesian Tensors - Third Edition - D E Borune & P C Kendall - which is
  1 KB (245 words) - 18:35, 13 February 2015
• Connected (topology)
  ==Notes== ...is no such separation then the space is ''connected''<ref name="Analysis">Analysis - Part 1: Elements - Krzysztof Maurin</ref>
  5 KB (866 words) - 01:52, 1 October 2016
• Closed set
  ...logy - Third Edition - Mendelson</ref><ref name="KMAPI">Krzyzstof Maurin - Analysis - Part I: Elements</ref>. ==Notes==
  1 KB (238 words) - 15:36, 24 November 2015
• Relation
  ! Notes ...symmetric|Type_identitive}}Antisymmetric<ref name="RAAA">Real and Abstract Analysis - Edwin Hewitt and Karl Stromberg</ref><br/>({{AKA}} Identitive<ref name="A
  4 KB (762 words) - 20:07, 20 April 2016
• Norm
  ...uding the brilliant [[Books:Analysis - Part 1: Elements - Krzysztof Maurin|Analysis - Part 1: Elements - Krzysztof Maurin]] referenced here state ''explicitly' ...for more information, this relationship is very important in [[Functional analysis]])
  6 KB (1,026 words) - 20:33, 9 April 2017
• Index of notation
  ! Notes ! Notes
  9 KB (1,490 words) - 06:13, 1 January 2017
• Sequence
  ...et Theory, third edition, Jech and Hrbacek</ref><ref name="Analysis">p11 - Analysis - Part 1: Elements - Krzysztof Maurin</ref>, <math>f:\mathbb{N}\rightarrow ==Notes==
  2 KB (419 words) - 18:12, 13 March 2016
• Inner product
  ...- Lecture Notes - Richard Sharp - Sep 2014</ref><ref name="FA">Functional Analysis - George Bachman and Lawrence Narici</ref> is a map: {{Definition|Linear Algebra|Functional Analysis}}
  6 KB (1,016 words) - 12:57, 19 February 2016
• Hilbert space
  A ''Hilbert space''<ref>Functional Analysis I - Lecture Notes - Richard Sharp - Sep 2014</ref> is a {{Vector space|H}} (where {{M|F}} is {{Definition|Functional Analysis}}
  573 B (93 words) - 17:34, 21 April 2015
• Krzysztof Maurin's notation
  ==Analysis - Part I: Elements== ! Read as<ref name="part1">Analysis - Part I: Elements - Krzysztof Maurin</ref>
  1 KB (173 words) - 14:51, 18 June 2015
• Partition (abstract algebra)
  Then the ''family'' {{M|\{A_i\}_{i\in I} }} is called<ref name="Analysis">Analysis - Part 1: Elements - Krzystof Maurin</ref> ''the partition of the set {{M|B ==Notes==
  2 KB (316 words) - 16:03, 18 June 2015
• Notes:Compactness and sequences
  Analysis: Part 1 - Elements by Krzysztof Maurin has a great bit on compactness! It u I need to distinguish (fail to unite) the two. There are notes on the [[Sequential compactness]] page - annoyingly no references - YET
  336 B (58 words) - 03:59, 22 June 2015
• Bounded set
  ==Notes== {{Definition|Metric Space|Functional Analysis|Analysis}}
  2 KB (409 words) - 23:31, 29 October 2016
• Isometry
  ...Y,d')}}<br/> we have {{M|1=d(x,y)=d'(f(x),f(y))}}<ref name="FA">Functional Analysis - George Bachman and Lawrence Narici</ref> ==Notes==
  1 KB (212 words) - 13:13, 9 July 2015
• Cauchy sequence
  ==Notes== ==Notes==
  669 B (81 words) - 21:10, 20 April 2016
• Inner product space
  ...r a ''pre-[[Hilbert space|hilbert]] space'') is a<ref name="FA">Functional Analysis - George Bachman and Lawrence Narici</ref>: ==Notes==
  949 B (161 words) - 21:08, 11 July 2015