Browsing W&L University Student Scholarship by Subject "Numerical range"
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Compressing Operators to Obtain Single-Point Numerical Ranges
We are all familiar with vector spaces and their basic properties. We understand linear operators, dot products, and maybe even norms. What the reader may not be as familiar with, however, is the concept of numerical range. ... -
Compressions of Linear Operators Yielding a Single Point Numerical Range
This thesis will focus on finding subspaces M such that the compression of T to M, denoted TM, has a single point numerical range. . . . The motivation for finding such subspaces lies in a theorem from quantum coding ...