Modern Approaches to the Invariant-Subspace Problem by Jonathan Partington
One of the major unsolved problems in operator theory is the fifty-year-old invariant subspace problem, which asks whether every bounded linear operator on a Hilbert space has a nontrivial closed invariant subspace. This book presents some of the major results in the area, including many that were derived within the past few years and cannot be found in other books. Beginning with a preliminary chapter containing the necessary pure mathematical background, the authors present a variety of powerful techniques, including the use of the operator-valued Poisson kernel, various forms of the functional calculus, Hardy spaces, fixed point theorems, minimal vectors, universal operators and moment sequences. The subject is presented at a level accessible to postgraduate students, as well as established researchers. It will be of particular interest to those who study linear operators and also to those who work in other areas of pure mathematics.-
The Geometry of Fractal Sets
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Riemannian Geometry
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Miniquaternion Geometry
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The Geometry of Total Curvature on Complete Open Surfaces
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Metric Spaces
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A Universal Construction for Groups Acting Freely on Real Trees
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Birational Geometry and Manin's Conjecture
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Coherence in Three-Dimensional Category Theory
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Dilation and Model Theory for Pairs of Commuting Contraction Operators
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The Direct Method in Soliton Theory
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Matrix Positivity
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Rigidity in Higher Rank Abelian Group Actions: Volume 1, Introduction and Cocycle Problem
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Topics in Critical Point Theory
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Category and Measure
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The Mathieu Groups
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Frobenius Manifolds and Moduli Spaces for Singularities
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Group Cohomology and Algebraic Cycles
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Permutation Group Algorithms
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Nonlinear Perron–Frobenius Theory
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Abelian Varieties, Theta Functions and the Fourier Transform
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Matrices of Sign-Solvable Linear Systems
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The Cube-A Window to Convex and Discrete Geometry
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The Large Sieve and its Applications
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Combinatorics of Minuscule Representations
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Polynomials and Vanishing Cycles
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Restricted Orbit Equivalence for Actions of Discrete Amenable Groups
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Metric Diophantine Approximation on Manifolds
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Applications of Diophantine Approximation to Integral Points and Transcendence
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An Introduction to Homotopy Theory
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Linear and Projective Representations of Symmetric Groups
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Dependence with Complete Connections and its Applications
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Fixed Point Theory and Applications
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Justification Logic
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Synthetic Geometry of Manifolds
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Dynamical Systems and Semisimple Groups
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Distribution Modulo One and Diophantine Approximation
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The Levy Laplacian
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Sets of Multiples
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Period Domains over Finite and p-adic Fields
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Large Deviations for Markov Chains
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Levy Processes in Lie Groups
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Character Sums with Exponential Functions and their Applications
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Poincare Duality Algebras, Macaulay's Dual Systems, and Steenrod Operations
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Quasi-Frobenius Rings
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The Covering Property Axiom, CPA
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Ridge Functions
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Jordan Structures in Geometry and Analysis
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Typical Dynamics of Volume Preserving Homeomorphisms
'I think this is a very useful book which will serve as a good source for a rich variety of methods that have been developed for proving positive results on the ISPMoreover, there is much material in the book which is of interest beyond its application to the ISP. [It] should be of interest to analysts in general as well as being an essential source for study of the ISP.' Sandy Davie, SIAM Review
Isabelle Chalendar is an Assistant Professor in the Department of Mathematics at the University of Lyon 1, France. Jonathan R. Partington is a Professor in the School of Mathematics at the University of Leeds.
| SKU | Unavailable |
| ISBN 13 | 9781107010512 |
| ISBN 10 | 1107010519 |
| Title | Modern Approaches to the Invariant-Subspace Problem |
| Author | Jonathan Partington |
| Series | Cambridge Tracts In Mathematics |
| Condition | Unavailable |
| Binding Type | Hardback |
| Publisher | Cambridge University Press |
| Year published | 2011-08-18 |
| Number of pages | 298 |
| Cover note | Book picture is for illustrative purposes only, actual binding, cover or edition may vary. |
| Note | Unavailable |