What does V = C([0,1]) mean? - Math Help Forum

$Math Help Forum$

$Go Back$		Math Help Forum > University Math Help > Linear and Abstract Algebra
$Reload this Page$ What does V = C([0,1]) mean?

Download MHF Flyer

Mark Forums Read

$Reply$

#1

$Old$ November 5th, 2009, 01:38 PM

$Last_Singularity's Avatar$

Last_Singularity $Last_Singularity is offline$

Member

Join Date: Dec 2008

Posts: 143

Country:

United States

Thanks: 35

Thanked 62 Times in 54 Posts

$Last_Singularity will become famous soon enough$

$Send a message via AIM to Last_Singularity$ $Send a message via MSN to Last_Singularity$

$Default$ What does V = C([0,1]) mean?

If $V$ is a vector space, what does $C([0,1])$ mean? I am aware that $[0,1]$ is the compact set on the real line between 0 and 1, but what about the $C(.)$ ?

Thanks!

__________________

To view links or images in signatures your post count must be 10 or greater. You currently have 0 posts.

$Reply With Quote$

Advertisement

#2

$Old$ November 5th, 2009, 02:46 PM

$Opalg's Avatar$

Opalg $Opalg is offline$

MHF Contributor

Join Date: Aug 2007

Location: Leeds, UK

Posts: 2,065

Country:

England

Thanks: 126

Thanked 1,261 Times in 1,048 Posts

$Opalg has a brilliant future$ $Opalg has a brilliant future$ $Opalg has a brilliant future$ $Opalg has a brilliant future$ $Opalg has a brilliant future$ $Opalg has a brilliant future$ $Opalg has a brilliant future$ $Opalg has a brilliant future$ $Opalg has a brilliant future$ $Opalg has a brilliant future$ $Opalg has a brilliant future$

$Default$

Quote:

Originally Posted by Last_Singularity $View Post$

If $V$ is a vector space, what does $C([0,1])$ mean? I am aware that $[0,1]$ is the compact set on the real line between 0 and 1, but what about the $C(.)$ ?

It usually means the space of all continuous functions on that interval.

__________________

To view links or images in signatures your post count must be 10 or greater. You currently have 0 posts.

$Reply With Quote$

The following users thank Opalg for this useful post:
Last_Singularity
$Donate to MHF$

$Reply$

« Prove that TU = T0 | Top | solve for z »

Thread Tools
$Show Printable Version$ Show Printable Version $Email this Page$ Email this Page
Display Modes
$Linear Mode$ Linear Mode $Hybrid Mode$ Switch to Hybrid Mode $Threaded Mode$ Switch to Threaded Mode

Posting Rules
You may not post new threads You may not post replies You may not post attachments You may not edit your posts BB code is On Smilies are On [IMG] code is On HTML code is Off Trackbacks are Off Pingbacks are Off Refbacks are Off

Forum Jump

All times are GMT -7. The time now is 09:32 PM.

your link here Sponsors

rv solar, e-learning,

Math Help Forum is a community of maths forums with an emphasis on maths help in all levels of mathematics.
Register to post your math questions or just hang out and try some of our math games or visit the arcade.