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.
OPERATOR THEORY ON ONE-SIDED QUATERNION LINEAR SPACES
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.
Uniqueness of Fat-Tailed Self-Similar Profiles to Smoluchowski?s Coagulation Equation for a Perturbation of the Constant Kernel
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.
Linear Dynamical Systems on Hilbert Spaces: Typical Properties and Explicit Examples
Linear Dynamical Systems on Hilbert Spaces: Typical Properties and Explicit Examples - 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 Linear Dynamical Systems on Hilbert Spaces: Typical Properties and Explicit Examples write by S. Grivaux. This book was released on 2021-06-21. Linear Dynamical Systems on Hilbert Spaces: Typical Properties and Explicit Examples available in PDF, EPUB and Kindle. We solve a number of questions pertaining to the dynamics of linear operators on Hilbert spaces, sometimes by using Baire category arguments and sometimes by constructing explicit examples. In particular, we prove the following results. (i) A typical hypercyclic operator is not topologically mixing, has no eigen-values and admits no non-trivial invariant measure, but is densely distri-butionally chaotic. (ii) A typical upper-triangular operator with coefficients of modulus 1 on the diagonal is ergodic in the Gaussian sense, whereas a typical operator of the form “diagonal with coefficients of modulus 1 on the diagonal plus backward unilateral weighted shift” is ergodic but has only countably many unimodular eigenvalues; in particular, it is ergodic but not ergodic in the Gaussian sense. (iii) There exist Hilbert space operators which are chaotic and U-frequently hypercyclic but not frequently hypercyclic, Hilbert space operators which are chaotic and frequently hypercyclic but not ergodic, and Hilbert space operators which are chaotic and topologically mixing but not U-frequently hypercyclic. We complement our results by investigating the descriptive complexity of some natural classes of operators defined by dynamical properties.
Cohomological Tensor Functors on Representations of the General Linear Supergroup
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.
