How Long to Read Representations on Krein Spaces [Hot] and Derivations of C*-Algebras

By Edward Kissin

How Long Does it Take to Read Representations on Krein Spaces [Hot] and Derivations of C*-Algebras?

It takes the average reader 10 hours and 20 minutes to read Representations on Krein Spaces [Hot] and Derivations of C*-Algebras by Edward Kissin

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

Description

This text provides a comprehensive treatment of representations on indefinite metric spaces, and their applications to the theory of *-derivations of C*-algebras. The book consists of two parts. The first studies the geometry of indefinite metric spaces (Krein and (Pi)(kappa)-spaces) and describes the theory of J-symmetric operator algebras and representations of *-algebras and groups on these spaces in a systematic form. For representations on (Pi)(kappa)-spaces, many significant new results are obtained; this establishes a possible approach to the general theory of representations. In the second part, different techniques of the theory of J-symmetric representations on Krein spaces are applied to the theory of *-derivations of C*-algebras implemented by skew-symmetric and dissipative operators. Various results are obtained, which establish a link between the deficiency indices of skew-symmetric operators implementing *-derivations of C*-algebras and dimensions of representations of these algebras. The problem of isomorphism of skew-symmetric operators is also touched upon. Numerous properties of the domains of *-derivations are investigated. These domains constitute an important subclass of differentiable Banach *-algebras, that is dense *-subalgebras of C*-algebras with properties in many respects similar to the properties of algebras of differentiable functions. The Weyl operator commutation relations are examined in the general context of *-derivations of C*-algebras. Powersí and Arvesonís indices of one-parameter semigroups of *-endomorphisms of the algebra B are considered, and various notions of the index of a *-derivation are introduced and studied. Application of the theory of J-symmetric representations on Krein spaces to the theory of *-derivations of C*-algebras is a new research area of growing interest and there are many exciting advances to be made in this field. The book covers a fairly large and complex body of material, and will serve as a stimulus to further research activity in this area.

How long is Representations on Krein Spaces [Hot] and Derivations of C*-Algebras?

Representations on Krein Spaces [Hot] and Derivations of C*-Algebras by Edward Kissin is 620 pages long, and a total of 155,000 words.

This makes it 209% the length of the average book. It also has 189% more words than the average book.

How Long Does it Take to Read Representations on Krein Spaces [Hot] and Derivations of C*-Algebras Aloud?

The average oral reading speed is 183 words per minute. This means it takes 14 hours and 6 minutes to read Representations on Krein Spaces [Hot] and Derivations of C*-Algebras aloud.

What Reading Level is Representations on Krein Spaces [Hot] and Derivations of C*-Algebras?

Representations on Krein Spaces [Hot] and Derivations of C*-Algebras 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 Representations on Krein Spaces [Hot] and Derivations of C*-Algebras?

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