Author : Gelu Popescu
Publisher : American Mathematical Soc.
Page : 137 pages
File Size : 42,21 MB
Release : 2010
Category : Mathematics
ISBN : 0821847104
"Volume 205, number 964 (third of 5 numbers)."
Author : Joseph A. Ball
Publisher : Cambridge University Press
Page : 439 pages
File Size : 21,54 MB
Release : 2021-12-16
Category : Mathematics
ISBN : 131651899X
This concise volume shows how ideas from function and systems theory lead to new insights for noncommutative multivariable operator theory.
Author : Ernst Albrecht
Publisher : Springer Nature
Page : 893 pages
File Size : 33,46 MB
Release : 2024-01-22
Category : Mathematics
ISBN : 3031505352
Over the course of his distinguished career, Jörg Eschmeier made a number of fundamental contributions to the development of operator theory and related topics. The chapters in this volume, compiled in his memory, are written by distinguished mathematicians and pay tribute to his many significant and lasting achievements.
Author : Gelu Popescu
Publisher : American Mathematical Soc.
Page : 137 pages
File Size : 21,38 MB
Release :
Category : Mathematics
ISBN : 0821867059
"Volume 205, number 964 (third of 5 numbers)."
Author : Dmitry S. Kaliuzhnyi-Verbovetskyi
Publisher : American Mathematical Soc.
Page : 194 pages
File Size : 18,75 MB
Release : 2014-11-19
Category : Mathematics
ISBN : 1470416972
In this book the authors develop a theory of free noncommutative functions, in both algebraic and analytic settings. Such functions are defined as mappings from square matrices of all sizes over a module (in particular, a vector space) to square matrices over another module, which respect the size, direct sums, and similarities of matrices. Examples include, but are not limited to, noncommutative polynomials, power series, and rational expressions. Motivation and inspiration for using the theory of free noncommutative functions often comes from free probability. An important application area is "dimensionless" matrix inequalities; these arise, e.g., in various optimization problems of system engineering. Among other related areas are those of polynomial identities in rings, formal languages and finite automata, quasideterminants, noncommutative symmetric functions, operator spaces and operator algebras, and quantum control.
Author : Makoto Sakai
Publisher : American Mathematical Soc.
Page : 282 pages
File Size : 23,67 MB
Release : 2010
Category : Mathematics
ISBN : 0821848100
For a given plane domain, the author adds a constant multiple of the Dirac measure at a point in the domain and makes a new domain called a quadrature domain. The quadrature domain is characterized as a domain such that the integral of a harmonic and integrable function over the domain equals the integral of the function over the given domain plus the integral of the function with respect to the added measure. The family of quadrature domains can be modeled as the Hele-Shaw flow with a free-boundary problem. The given domain is regarded as the initial domain and the support point of the Dirac measure as the injection point of the flow.
Author : Elias G. Katsoulis
Publisher : American Mathematical Soc.
Page : 100 pages
File Size : 23,43 MB
Release : 2019-04-10
Category : Mathematics
ISBN : 1470435454
The authors study crossed products of arbitrary operator algebras by locally compact groups of completely isometric automorphisms. They develop an abstract theory that allows for generalizations of many of the fundamental results from the selfadjoint theory to our context. They complement their generic results with the detailed study of many important special cases. In particular they study crossed products of tensor algebras, triangular AF algebras and various associated C -algebras. They make contributions to the study of C -envelopes, semisimplicity, the semi-Dirichlet property, Takai duality and the Hao-Ng isomorphism problem. They also answer questions from the pertinent literature.
Author : Steve Hofmann
Publisher : American Mathematical Soc.
Page : 91 pages
File Size : 26,93 MB
Release : 2011
Category : Mathematics
ISBN : 0821852388
Let $X$ be a metric space with doubling measure, and $L$ be a non-negative, self-adjoint operator satisfying Davies-Gaffney bounds on $L^2(X)$. In this article the authors present a theory of Hardy and BMO spaces associated to $L$, including an atomic (or molecular) decomposition, square function characterization, and duality of Hardy and BMO spaces. Further specializing to the case that $L$ is a Schrodinger operator on $\mathbb{R}^n$ with a non-negative, locally integrable potential, the authors establish additional characterizations of such Hardy spaces in terms of maximal functions. Finally, they define Hardy spaces $H^p_L(X)$ for $p>1$, which may or may not coincide with the space $L^p(X)$, and show that they interpolate with $H^1_L(X)$ spaces by the complex method.
Author : Martin C. Olsson
Publisher : American Mathematical Soc.
Page : 170 pages
File Size : 19,59 MB
Release : 2011-02-07
Category : Mathematics
ISBN : 082185240X
The author develops a non-abelian version of $p$-adic Hodge Theory for varieties (possibly open with ``nice compactification'') with good reduction. This theory yields in particular a comparison between smooth $p$-adic sheaves and $F$-isocrystals on the level of certain Tannakian categories, $p$-adic Hodge theory for relative Malcev completions of fundamental groups and their Lie algebras, and gives information about the action of Galois on fundamental groups.
Author : Marek Ptak
Publisher : Springer Nature
Page : 423 pages
File Size : 32,75 MB
Release :
Category :
ISBN : 3031506138
