Prove that $T^*$ is injective iff $ImT$ Is dense
Dec 21, 2014 · The title of your question does not really match the actual question (maybe the statement of the current question is used to prove the result in the title?). Is this intended?
linear algebra - if $T: V\to V$ and $ dim (KerT)+dim (ImT)=dimV
Mar 29, 2023 · $KerT+ImT=dimV$ ? Is this possible? $Ker T, Im T$ are subspaces of $V$ and $dimV$ is a just a...
V = ImT \oplus \ KerT - Mathematics Stack Exchange
Linear Tranformation that preserves Direct sum $ V = ImT \oplus \ KerT $ Ask Question Asked 12 years, 9 months ago Modified 12 years, 9 months ago
Find Base for ImT and KerT - Mathematics Stack Exchange
Linear Alegbra - Find Base for ImT and KerT Ask Question Asked 11 years ago Modified 11 years ago
Show that $ImT^t= (kerT)°$ - Mathematics Stack Exchange
Mar 1, 2015 · Let $T:V→W$ be linear transformation and V have a finite dimension. Show that $ImT^t=(kerT)°$ I have to prove it by mutual inclusion. I have proven the first ...
Intersection of the NullT and ImT - Mathematics Stack Exchange
Feb 11, 2015 · Intersection of the NullT and ImT Ask Question Asked 10 years, 7 months ago Modified 4 years, 7 months ago
Finding the basis of ker (T) and im (T) - Mathematics Stack Exchange
Jul 19, 2021 · Continue to help good content that is interesting, well-researched, and useful, rise to the top! To gain full voting privileges,
Give an example of a linear map $T$ such that $\dim …
Jan 1, 2020 · Continue to help good content that is interesting, well-researched, and useful, rise to the top! To gain full voting privileges,
linear algebra - Prove Ker$T= ($Im$T^*)^\bot$ and …
May 26, 2023 · Continue to help good content that is interesting, well-researched, and useful, rise to the top! To gain full voting privileges,
Is $Im (T^\dagger) = Ker (T)^\perp$ true for infinite dimensional ...
Oct 2, 2020 · Analogous treatments of the notion of duality and adjunction can be given in either the more specific case of Hilbert spaces -- by virtue of the Riesz representation theorem …