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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4.5 Trace class operators
In the previous section, we introduced HS operators that provide an important subset of the compact operators. Another such subset is the trace class or nuclear operators that we examine in this section.
Let 
be any bounded linear operator on some Hilbert space 
. By Theorem 3.4.3, we can define the square root of 
as a bounded, nonnegative, self-adjoint operator 
such that 
.
An argument ...
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