Linear Functionals, theory and exemples 1

Linear Functionals, theory and exemples 1

[chenken]

Very clear explanation. Thank you and please keep uploading.

[chiruvolusridevi]

Thanks for the clear explanation. I want to know about dual spaces. I dont understand ' set of all linear functionals.'

[rajmudra]

Is constant function a linear functional if not why?

[marinahov]

you mention that the derivative operator is not a functional, because its range is another vector space.

Could the derivative be a functional if it is defined at a particular point for all functions in the vector space? (Like the interval in example of the integral operator) If not, what makes the integral operator and not the derivative operator a functional?