How Long to Read Operator Theory and Arithmetic in H [infinity]

How Long Does it Take to Read Operator Theory and Arithmetic in H [infinity]?

It takes the average reader 4 hours and 40 minutes to read Operator Theory and Arithmetic in H [infinity] by Hari Bercovici

Assuming a reading speed of 250 words per minute. Learn more

Description

Jordan's classification theorem for linear transformations on a finite-dimensional vector space is a natural highlight of the deep relationship between linear algebra and the arithmetical properties of polynomial rings. Because the methods and results of finite-dimensional linear algebra seldom extend to or have analogs in infinite-dimensional operator theory, it is therefore remarkable to have a class of operators which has a classification theorem analogous to Jordan's classical result and has properties closely related to the arithmetic of the ring $H^{\infty}$ of bounded analytic functions in the unit disk. $C_0$ is such a class and is the central object of study in this book.A contraction operator belongs to $C_0$ if and only if the associated functional calculus on $H^{\infty}$ has a nontrivial kernel. $C_0$ was discovered by Bela Sz.-Nagy and Ciprian Foias in their work on canonical models for contraction operators on Hilbert space. Besides their intrinsic interest and direct applications, operators of class $C_0$ are very helpful in constructing examples and counterexamples in other branches of operator theory. In addition, $C_0$ arises in certain problems of control and realization theory.In this survey work, the author provides a unified and concise presentation of a subject that was covered in many articles. The book describes the classification theory of $C_0$ and relates this class to other subjects such as general dilation theory, stochastic realization, representations of convolution algebras, and Fredholm theory. This book should be of interest to operator theorists as well as theoretical engineers interested in the applications of operator theory. In an effort to make the book as self-contained as possible, the author gives an introduction to the theory of dilations and functional models for contraction operators. Prerequisites for this book are a course in functional analysis and an acquaintance with the theory of Hardy spaces in the unit disk. In addition, knowledge of the trace class of operators is necessary in the chapter on weak contractions.

How long is Operator Theory and Arithmetic in H [infinity]?

Operator Theory and Arithmetic in H [infinity] by Hari Bercovici is 275 pages long, and a total of 70,125 words.

This makes it 93% the length of the average book. It also has 86% more words than the average book.

How Long Does it Take to Read Operator Theory and Arithmetic in H [infinity] Aloud?

The average oral reading speed is 183 words per minute. This means it takes 6 hours and 23 minutes to read Operator Theory and Arithmetic in H [infinity] aloud.

What Reading Level is Operator Theory and Arithmetic in H [infinity]?

Operator Theory and Arithmetic in H [infinity] is suitable for students ages 12 and up.

Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.

When deciding what to show young students always use your best judgement and consult a professional.

Where Can I Buy Operator Theory and Arithmetic in H [infinity]?

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