It takes the average reader 1 hour and 21 minutes to read Multivariable Dilation Theory on Hilbert Spaces by John Griffin
Assuming a reading speed of 250 words per minute. Learn more
The thesis begins with a survey of the Sz.-Nagy and Foiaş dilation theory of contractions on Hilbert spaces. This includes the study of the unilateral shift S, which acts as a model operator. Dilation theorems for multiple commuting contractions due to Itô and Andô are also considered. The extensions of these classical dilation results to three settings due to Popescu are introduced. The first of these extensions are the dilation theorems for row contractions and the model n-tuple ( S1,...,Sn) of left creation operators. We look at the noncommutative disc algebra A n, which is the norm closure of all polynomials in the left creation operators. The next portion concerns the development of a dilation theorem for elements of polyballs which satisfy a positivity condition. The model element in this setting is the family [special characters omitted] of left creation operators defined on F2( Hn_1) ⊗···⊗ F2(Hn_k). Finally, a dilation theorem for generalized row contractions is established. This involves the model n-tuple (W1,..., Wn) of weighted left creation operators.
Multivariable Dilation Theory on Hilbert Spaces by John Griffin is 81 pages long, and a total of 20,331 words.
This makes it 27% the length of the average book. It also has 25% more words than the average book.
The average oral reading speed is 183 words per minute. This means it takes 1 hour and 51 minutes to read Multivariable Dilation Theory on Hilbert Spaces aloud.
Multivariable Dilation Theory on Hilbert Spaces is suitable for students ages 10 and up.
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