Composition of absolutely continuous function
Clash Royale CLAN TAG#URR8PPP
up vote
0
down vote
favorite
if I have a function $x:[0,infty)rightarrow H$ (H is an hilbert space) that is absolutely continuous (AC), why should the function $|x(t)-y|^2$ be AC, for $yin H$?
Yet again, why should $|x_lambda(t)-x_mu(t)|^2$ be AC if both $x_lambda$ and $x_mu$ are AC?
Thank you in advance
real-analysis analysis hilbert-spaces absolute-continuity
asked Aug 17 at 23:12
Paolo
356
add a comment |Â
up vote
0
down vote
favorite
if I have a function $x:[0,infty)rightarrow H$ (H is an hilbert space) that is absolutely continuous (AC), why should the function $|x(t)-y|^2$ be AC, for $yin H$?
Yet again, why should $|x_lambda(t)-x_mu(t)|^2$ be AC if both $x_lambda$ and $x_mu$ are AC?
Thank you in advance
real-analysis analysis hilbert-spaces absolute-continuity
asked Aug 17 at 23:12
Paolo
356
add a comment |Â
up vote
0
down vote
favorite
up vote
0
down vote
favorite
if I have a function $x:[0,infty)rightarrow H$ (H is an hilbert space) that is absolutely continuous (AC), why should the function $|x(t)-y|^2$ be AC, for $yin H$?
Yet again, why should $|x_lambda(t)-x_mu(t)|^2$ be AC if both $x_lambda$ and $x_mu$ are AC?
Thank you in advance
real-analysis analysis hilbert-spaces absolute-continuity
asked Aug 17 at 23:12
Paolo
356
if I have a function $x:[0,infty)rightarrow H$ (H is an hilbert space) that is absolutely continuous (AC), why should the function $|x(t)-y|^2$ be AC, for $yin H$?
Yet again, why should $|x_lambda(t)-x_mu(t)|^2$ be AC if both $x_lambda$ and $x_mu$ are AC?
Thank you in advance
real-analysis analysis hilbert-spaces absolute-continuity
asked Aug 17 at 23:12
Paolo
356
asked Aug 17 at 23:12
Paolo
356
asked Aug 17 at 23:12
Paolo
356
asked Aug 17 at 23:12
Paolo
356
356
add a comment |Â
add a comment |Â
active
oldest
votes
active
oldest
votes
active
oldest
votes
active
oldest
votes
active
oldest
votes
Sign up or log in
StackExchange.ready(function ()
StackExchange.helpers.onClickDraftSave('#login-link');
);
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
StackExchange.ready(
function ()
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f2886279%2fcomposition-of-absolutely-continuous-function%23new-answer', 'question_page');
);
Post as a guest
Sign up or log in
StackExchange.ready(function ()
StackExchange.helpers.onClickDraftSave('#login-link');
);
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Sign up or log in
StackExchange.ready(function ()
StackExchange.helpers.onClickDraftSave('#login-link');
);
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Sign up or log in
StackExchange.ready(function ()
StackExchange.helpers.onClickDraftSave('#login-link');
);
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
