reflexive non-degenerate sesquilinear
A non-degenerate sesquilinear form is reflexive if for all , if then . This means
It is rare to define perpendicularity for sesquilinear/bilinear maps which are not reflexive because it would require a version of left and right perpendicular. Thus a reflexive sesquilinear/bilinear map is usually synonymous with the existence of perpendicularity.
Title | reflexive non-degenerate sesquilinear |
Canonical name | ReflexiveNondegenerateSesquilinear |
Date of creation | 2013-03-22 15:51:04 |
Last modified on | 2013-03-22 15:51:04 |
Owner | Algeboy (12884) |
Last modified by | Algeboy (12884) |
Numerical id | 10 |
Author | Algeboy (12884) |
Entry type | Definition |
Classification | msc 15A63 |
Synonym | reflexive non-degenerate bilinear |
Synonym | reflexive sesquilinear |
Synonym | reflexive bilinear |
Related topic | SesquilinearFormsOverGeneralFields |
Defines | Reflexive non-degenerate sesquilinear |
Defines | Reflexive non-degenerate bilinear |
Defines | Reflexive |