V. Berkovich, Spectral Theory and Analytic Geometry over Non-Archimedean Fields, Surveys and Monographs 33, Amer. Math. Soc., 1990.V. Berkovich, Spectral theory and analytic geometry over non-archimedean fields, Surveys and Monographs 33, Amer. Math. Soc., Providence, 1990....
1997). His research interest include operator theory, spectral theory on the S-spectrum, hypercomplex analysis and the theory of superoscillations. Together with co-authors, he has written 9 books and over 230 research
W. MILTON, Spectral theory of a Neumann-Poincare-type operator and analysis of cloaking due to anomalous localized resonance II, Contemporary Mathematics, 615 (2014), pp. 1-14, doi:http://dx.doi.org/10.1090/conm/615.H. Ammari, G. Ciraolo, H. Kang, H. Lee, and G. W. Milton, ...
Weyl–Titchmarsh theorySpectral theoryOperator-valued ODEsGiven a complex, separable Hilbert space H, we consider differential expressions of the type τ=(d2/dx2)+V(x), with x∈(a,∞) or x∈R. Here V denotes a bounded operator-valued potential V()∈B(H) such that V() is weakly ...
Eigenvalue Perturbation Theory, Operator Basics, Compact Operators, Orthogonal Polynomials, Spectral Theory, Banach Algebras, and Unbounded Self-Adjoint Operators. Selected topics include analytic functional calculus, polar decomposition, Hilbert–Schmidt and Riesz–Schauder theorems, Ringrose structure theorems...
Stunning recent results by Host–Kra, Green–Tao, and others, highlight the timeliness of this systematic introduction to classical ergodic theory using the tools of operator theory. Assuming no prior exposure to ergodic theory, this book provides a mode
This second volume of Analysis in Banach Spaces, Probabilistic Methods and Operator Theory, is the successor to Volume I, Martingales and Littlewood-Paley Theory. It presents a thorough study of the fundamental randomisation techniques and the operator-theoretic aspects of the theory. The first two ...
Consider the operator pencil L = A B 2C, where A, B, and C are linear, in general unbounded and nonsymmetric, operators densely defined in a Hilbert space H. Sufficient conditions for the existence of the eigenvalues of L are investigated in the case when A, B and C are K-positive ...
内容简介· ··· This volume contains a collection of recent original research papers in operator theory in Krein spaces, on generalized Nevanlinna functions, which are closely connected with this theory, and on nonlinear eigenvalue problems. Key topics: - spectral theory for normal operators in K...
C*-Algebras and Operator Theory 1.2.2. Thm. A unital and \|a\|<1 \Rightarrow 1-a\in \text{Inv}(A) , (1-a)^{-1}=\sum_{n=0}^\infty a^n .\left\|\sum_{n=0}^\infty a^n\right\|\leq \sum_{n=0}^\infty \|a\|^n=(1-\… Yuz.Scarlet C*-Algebras and Operator...