May 2015
Intermediate to advanced
384 pages
9h 20m
English
book
Theoretical Foundations of Functional Data Analysis, with an Introduction to Linear Operators
by Tailen Hsing, Randall Eubank
Content preview from Theoretical Foundations of Functional Data Analysis, with an Introduction to Linear Operators
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3.5 Operator inverses
A linear mapping 
from a vector space 
into a vector space 
is one-to-one if 
and onto if 
. When 
is both one-to-one and onto it is said to be bijective. Bijective linear mappings are invertible. That is, there exists a linear mapping 
from 
to 
such that 
and 
are the identity transformation on their respective spaces.
Suppose now that and are Banach spaces and that is bijective. ...
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