Talk:Linear form

message: > I'm not familiar with the notation HOMk(V,k).  What does it mean?  15:46, 20 February 2009 (UTC)
replies: text: Homk(U,V) means the set of all linear mappings from U to V, while k specifies the field under which the mappings operate.  So Homk(V,k) is the set of all mappings from the vector space V to the scalar field k, i.e. a linear functional from U to k. Unknown (talk) 03:40, 12 May 2010 (UTC)
thread_title: HOM<sub>k</sub>(V,k)

message: To some degree i agree with your point - the disambiguation "hatnote" was written in Jan 2006, a long time ago in Wikipedia terms.
You refer to "such confusion" and "confusion-relief", so we seem to agree on that. There is confusion because there is ambiguity to someone who does not yet know what a linear functional means. Wikipedia:Dab describes one of the three important aspects of disambiguation as Ensuring that a reader who searches for a topic using a particular term can get to the information on that topic quickly and easily, whichever of the possible topics it might be. 
So your objection to linking to vector space and scalar (mathematics) in the hatnote seems to be that the reader may be distracted into learning/checking what these things are instead of getting to the main article that s/he is really interested in, and that s/he should only branch off into prerequisite articles once s/he has got to that main article. IMHO this is a fair point. My motivation at the time was that Wikipedia is a wiki. Adding links generally makes it easier for people to understand words that they did not previously understand and that are prerequisites for understanding the main thing that they are interested in. But i do see the point of not replacing the task of the lead.
I also tend to agree that someone looking for linear map is not that likely to find this article first, and even if s/he does, the risk of ambiguity is low.
On the other hand, the point raised at Talk:Functional_(mathematics)#Serious_Problems in favour of the function of a function definition of functionals, which remains in the second sentence of the  (erroneously presented as a special case). With this definition, it's not obvious to me that a functional that is linear is necessarily a linear functional (e.g. if the codomain is a tensor space, then the functional-that-is-linear is not a linear functional because it doesn't map to a field of scalrs). The terminology linear functional seems to be well-established in the sense defined in linear functional, but it doesn't seem to cover functionals that are linear.
I find it hard to believe that any typical search engine will go straight to the article functional (mathematics) when someone enters the expression linear functional and expects to find information about functionals (in general) that are linear. The search engine will give the linear_functional article as the most likely entry. I tried in a well-known search engine just now and did not get a link to functional. I tried in the mediawiki interface on en.Wikipedia and got sent straight to linear functional without getting a list of likely guesses to choose from.
Thus my proposal:
:
Do you (Jerzy) or anyone else object?
In parallel, the functional (mathematics) article needs some work as outlined at Talk:Functional_(mathematics)#Serious_Problems, but that should be discussed over there, not here. Boud (talk) 23:18, 25 March 2012 (UTC)
thread_title:  proposed improved hatnote 

message: we should indexate
\left(\begin{array}{c}
x^1\\
\vdots\\
x^n
\end{array}\right)
to make more conceptually coherent with today's pragmatic usefulness.
— Preceding unsigned comment added by Juan Marquez (talk • contribs) 04:04, 22 February 2013‎
:The upper indexes is not a common today's usage in mathematics because possible confusion with exponents and orders of derivation. As far as I know upper indexes are of common use only in advanced tensor calculus, which is not the subject of this article. D.Lazard (talk) 08:26, 22 February 2013 (UTC)
thread_title: improve

message: A discussion is taking place to address the redirect :Continuous linear functional. The discussion will occur at Wikipedia:Redirects for discussion/Log/2020 June 19#Continuous linear functional until a consensus is reached, and readers of this page are welcome to contribute to the discussion.  1234qwer1234qwer4 (talk) 10:04, 19 June 2020 (UTC)
thread_title:  "Continuous linear functional" listed at [[Wikipedia:Redirects for discussion|Redirects for discussion]] 

message: With white text on black, there are some multiline voids where math. expressions are defined in the editable text. Specifics are the Wikipedia app, running on Android 10 Q in a Google Pixel XL cell. phone.
A conceivable cause could be use of .svg image format, which can be invisible, without viewers for it,  in common display apps.
Regards,
nikevich Nikevich 03:07, 1 January 2022 (UTC)
thread_title:  Invisible math notation