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Full Description
Functional Analysis has become one of the main branches in Chinese mathematics. Many outstanding contributions and results have been achieved over the past sixty years.
This authoritative collection is complementary to Western studies in this field, and seeks to summarise and introduce the historical progress of the development of Functional Analysis in China from the 1940s to the present. A broad range of topics is covered, such as nonlinear functional analysis, linear operator theory, theory of operator algebras, applications including the solvability of some partial differential equations, and special spaces that contain Banach spaces and topological vector spaces. Some of these papers have made a significant impact on the mathematical community worldwide.
Audience: This volume will be of interest to mathematicians, physicists and engineers at postgraduate level.
Contents
One: Survey Papers.- Some Problems and Results in the study of Nonlinear Analysis.- Topics on the Approximation Problem of Almost Isometric Operators by Isometric Operators.- Several Results on Nonsmooth Analysis.- New Progress on Operator Semigroups and Linear Systems in Abstract Spaces.- Some Results on Nonlinear Functional Analysis.- Theory of Ba Spaces and Applications.- On Completely Irreducible Operators.- Multiplication of Distributions via Harmonic Representations.- C*-Crossed Products C(X) x?? and C(X) x? ?n with ?n = id.- Advance of Operator Theory in Fudan University.- Some Aspects of Nonlinear Operators and Critical Point Theory.- Survey of Recent Progress in Non-Commutative Tori.- Some Results on the Structure of Toeplitz Operators.- Properties of Some Nonlinear Operators.- Embedding Properties of Locally Convex Riesz Spaces.- Advances of Reseach on Orlicz Spaces in Harbin.- Research on Some Topics of Banach Spaces and Topological Vector Spaces in Harbin.- Some Results on Operator Algebra.- Operator Theory in Indefinite Inner Product Space.- Random Metric Theory in China.- Some Results on the Joint Spectrum for N-Tuple of Linear Operators.- Some Structural Properties of Banach Spaces.- Two: Research Papers.- The Plurisubharmonic Dentability and the Analytic Radon-Nikodym Property for Bounded
Subsets in Complex Banach Spaces.- Existence of Entire Solutions of an Elliptic Equation on ?N.- All Liminal AF-Algebras are Stably Isomorphic to Finite AF-Algebras.- The (U + K)-Orbit of Essentially Normal Operators and Compact Perturbation of Strongly Irreducible Operators.- The Complete Irreduciblity of Analytic Toeplitz Operators.- Classification of Real Von Neumann Algebras (I).- C-Cosine Operator Functions and the Applications to the Second Order AbstractCauchy Problem.- Integrated Semigroups, Cosine Families and Higher Order Abstract Cauchy Problems.- A Class of Toeplitz Operators on the Hardy Space.
