Question

State whether True or False.
Let 

C[0,1]

 be the space of all continuous real valued functions on 

[0,1]

.  For any continuous function 

K:[0,1]×[0,1]→R

, the map 

TK:C[0,1]→C[0,1]

 defined as

TK(f)(x)=∫10K(x,y)f(y)dy,x∈[0,1]

,
is a linear map.

True

False​

Answer 1

Answer:

the correct answer is true.