OPERATOR THEORY ON ONE-SIDED QUATERNION LINEAR SPACES

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Release : 2020
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Book Rating : 939/5 ( reviews)

OPERATOR THEORY ON ONE-SIDED QUATERNION LINEAR SPACES - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook OPERATOR THEORY ON ONE-SIDED QUATERNION LINEAR SPACES write by . This book was released on 2020. OPERATOR THEORY ON ONE-SIDED QUATERNION LINEAR SPACES available in PDF, EPUB and Kindle.

Operator Theory on One-Sided Quaternion Linear Spaces: Intrinsic $S$-Functional Calculus and Spectral Operators

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Release : 2021-02-10
Genre : Mathematics
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Book Rating : 388/5 ( reviews)

Operator Theory on One-Sided Quaternion Linear Spaces: Intrinsic $S$-Functional Calculus and Spectral Operators - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Operator Theory on One-Sided Quaternion Linear Spaces: Intrinsic $S$-Functional Calculus and Spectral Operators write by Jonathan Gantner. This book was released on 2021-02-10. Operator Theory on One-Sided Quaternion Linear Spaces: Intrinsic $S$-Functional Calculus and Spectral Operators available in PDF, EPUB and Kindle. Two major themes drive this article: identifying the minimal structure necessary to formulate quaternionic operator theory and revealing a deep relation between complex and quaternionic operator theory. The theory for quaternionic right linear operators is usually formulated under the assumption that there exists not only a right- but also a left-multiplication on the considered Banach space $V$. This has technical reasons, as the space of bounded operators on $V$ is otherwise not a quaternionic linear space. A right linear operator is however only associated with the right multiplication on the space and in certain settings, for instance on quaternionic Hilbert spaces, the left multiplication is not defined a priori, but must be chosen randomly. Spectral properties of an operator should hence be independent of the left multiplication on the space.

Uniqueness of Fat-Tailed Self-Similar Profiles to Smoluchowski?s Coagulation Equation for a Perturbation of the Constant Kernel

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Release : 2021-09-24
Genre : Mathematics
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Book Rating : 86X/5 ( reviews)

Uniqueness of Fat-Tailed Self-Similar Profiles to Smoluchowski?s Coagulation Equation for a Perturbation of the Constant Kernel - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Uniqueness of Fat-Tailed Self-Similar Profiles to Smoluchowski?s Coagulation Equation for a Perturbation of the Constant Kernel write by Sebastian Throm. This book was released on 2021-09-24. Uniqueness of Fat-Tailed Self-Similar Profiles to Smoluchowski?s Coagulation Equation for a Perturbation of the Constant Kernel available in PDF, EPUB and Kindle. View the abstract.

Differential Function Spectra, the Differential Becker-Gottlieb Transfer, and Applications to Differential Algebraic K-Theory

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Release : 2021-06-21
Genre : Education
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Book Rating : 855/5 ( reviews)

Differential Function Spectra, the Differential Becker-Gottlieb Transfer, and Applications to Differential Algebraic K-Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Differential Function Spectra, the Differential Becker-Gottlieb Transfer, and Applications to Differential Algebraic K-Theory write by Ulrich Bunke. This book was released on 2021-06-21. Differential Function Spectra, the Differential Becker-Gottlieb Transfer, and Applications to Differential Algebraic K-Theory available in PDF, EPUB and Kindle. We develop differential algebraic K-theory for rings of integers in number fields and we construct a cycle map from geometrized bundles of modules over such a ring to the differential algebraic K-theory. We also treat some of the foundational aspects of differential cohomology, including differential function spectra and the differential Becker-Gottlieb transfer. We then state a transfer index conjecture about the equality of the Becker-Gottlieb transfer and the analytic transfer defined by Lott. In support of this conjecture, we derive some non-trivial consequences which are provable by independent means.

Cohomological Tensor Functors on Representations of the General Linear Supergroup

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Release : 2021-07-21
Genre : Education
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Book Rating : 142/5 ( reviews)

Cohomological Tensor Functors on Representations of the General Linear Supergroup - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Cohomological Tensor Functors on Representations of the General Linear Supergroup write by Thorsten Heidersdorf. This book was released on 2021-07-21. Cohomological Tensor Functors on Representations of the General Linear Supergroup available in PDF, EPUB and Kindle. We define and study cohomological tensor functors from the category Tn of finite-dimensional representations of the supergroup Gl(n|n) into Tn−r for 0 < r ≤ n. In the case DS : Tn → Tn−1 we prove a formula DS(L) = ΠniLi for the image of an arbitrary irreducible representation. In particular DS(L) is semisimple and multiplicity free. We derive a few applications of this theorem such as the degeneration of certain spectral sequences and a formula for the modified superdimension of an irreducible representation.