Existence of a surjective map between the two space $X$ and $C([a,b],X)$
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Let $X$ a Hilbert space and $Cleft(left[a,bright],Xright)$ the space of Continuous functions from $left[a,bright]$ into $X$. My question is as follows:
is there exists any surjectif map from $Cleft(left[a,bright],Xright)rightarrow X$.
Thank you for your help!
functional-analysis differential-equations delay-differential-equations
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up vote
-1
down vote
favorite
Let $X$ a Hilbert space and $Cleft(left[a,bright],Xright)$ the space of Continuous functions from $left[a,bright]$ into $X$. My question is as follows:
is there exists any surjectif map from $Cleft(left[a,bright],Xright)rightarrow X$.
Thank you for your help!
functional-analysis differential-equations delay-differential-equations
add a comment |Â
up vote
-1
down vote
favorite
up vote
-1
down vote
favorite
Let $X$ a Hilbert space and $Cleft(left[a,bright],Xright)$ the space of Continuous functions from $left[a,bright]$ into $X$. My question is as follows:
is there exists any surjectif map from $Cleft(left[a,bright],Xright)rightarrow X$.
Thank you for your help!
functional-analysis differential-equations delay-differential-equations
Let $X$ a Hilbert space and $Cleft(left[a,bright],Xright)$ the space of Continuous functions from $left[a,bright]$ into $X$. My question is as follows:
is there exists any surjectif map from $Cleft(left[a,bright],Xright)rightarrow X$.
Thank you for your help!
functional-analysis differential-equations delay-differential-equations
asked Aug 20 at 9:46
zakaria hamidi
142
142
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add a comment |Â
1 Answer
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$f to f(a)$ is such a map. Note that given $xin X$ the constant map $f(y)=x$ for all $y$ is an element of $C([a,b],X)$
thank you for your help
â zakaria hamidi
Aug 20 at 9:59
add a comment |Â
1 Answer
1
active
oldest
votes
1 Answer
1
active
oldest
votes
active
oldest
votes
active
oldest
votes
up vote
3
down vote
$f to f(a)$ is such a map. Note that given $xin X$ the constant map $f(y)=x$ for all $y$ is an element of $C([a,b],X)$
thank you for your help
â zakaria hamidi
Aug 20 at 9:59
add a comment |Â
up vote
3
down vote
$f to f(a)$ is such a map. Note that given $xin X$ the constant map $f(y)=x$ for all $y$ is an element of $C([a,b],X)$
thank you for your help
â zakaria hamidi
Aug 20 at 9:59
add a comment |Â
up vote
3
down vote
up vote
3
down vote
$f to f(a)$ is such a map. Note that given $xin X$ the constant map $f(y)=x$ for all $y$ is an element of $C([a,b],X)$
$f to f(a)$ is such a map. Note that given $xin X$ the constant map $f(y)=x$ for all $y$ is an element of $C([a,b],X)$
answered Aug 20 at 9:49
Kavi Rama Murthy
23.3k2933
23.3k2933
thank you for your help
â zakaria hamidi
Aug 20 at 9:59
add a comment |Â
thank you for your help
â zakaria hamidi
Aug 20 at 9:59
thank you for your help
â zakaria hamidi
Aug 20 at 9:59
thank you for your help
â zakaria hamidi
Aug 20 at 9:59
add a comment |Â
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