# operator norm

## Primary tabs

Defines:
bounded linear map, unbounded linear map, bounded operator, unbounded operator
Synonym:
induced norm
Type of Math Object:
Definition
Major Section:
Reference

## Mathematics Subject Classification

### help: a proof about uniformly partiallly differentiaable

I faced a problem:
f:U-->R is uniformly partiallly differentiaable at a , i.e.,
for any epsilon, there exists a delta so that:
|[f(a+tu)-f(a)]/t-Dfu(a)|<=epsilon
for all u belongs to Rn and ||u||=1 and all t with 0<|t|<delta.

show that f is diffentiable at a

*Dfu(a) is the patial dirivative of f in the direction of u.

I got a proof but I am not confident in it because this kind of basic concept problem need to be very accurate..but I am quite confused about some symbol and concept .