Ebook: Functional Analysis in China

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.

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Content:
Front Matter....Pages i-xv
Some Problems and Results in the Study of Nonlinear Analysis....Pages 1-18
Topics on the Approximation Problem of Almost Isometric Operators by Isometric Operators....Pages 19-28
Several Results on Nonsmooth Analysis....Pages 29-34
New Progress on Operator Semigroups and Linear Systems in Abstract Spaces....Pages 35-52
Some Results on Nonlinear Functional Analysis....Pages 53-70
Theory of Ba Spaces and Applications....Pages 71-80
On Completely Irreducible Operators....Pages 81-89
Multiplication of Distributions via Harmonic Representations....Pages 90-106
Advance of Operator Theory in Fudan University....Pages 107-116
Some Aspects of Nonlinear Operators and Critical Point Theory....Pages 117-131
Survey of Recent Progress in Non-Commutative Tori....Pages 132-144
Some Results on the Structure of Toeplitz Operators....Pages 145-152
Properties of Some Nonlinear Operators....Pages 153-162
Embedding Properties of Locally Convex Riesz Spaces....Pages 163-170
Advances of Research on Orlicz Spaces in Harbin....Pages 171-186
Research on Some Topics of Banach Spaces and Topological Vector Spaces in Harbin....Pages 187-204
Some Results on Operator Algebra....Pages 205-218
Operator Theory in Indefinite Inner Product Space....Pages 219-228
Random Metric Theory in China....Pages 229-238
Some Results on the Joint Spectrum for N — Tuple of Linear Operators....Pages 239-249
Some Structural Properties of Banach Spaces....Pages 250-257
The Plurisubharmonic Dentability and the Analytic Radon-Nikodym Property for Bounded Subsets in Complex Banach Spaces....Pages 258-268
All Liminal AF-Algebras are Stable Isomorphic to Finite AF-Algebras....Pages 269-276
The (U + K)-Orbit of Essentially Normal Operators and Compact Perturbation of Strongly Irreducible Operators....Pages 277-299
The Complete Irreducibility of Analytic Toeplitz Operators....Pages 300-306
Classification of Real Von Neumann Algebras (I)....Pages 307-314
C-Cosine Operator Functions and the Applications to the Second Order Abstract Cauchy Problem....Pages 315-321
Integrated Semigroups, Cosine Families and Higher Order Abstract Cauchy Problems....Pages 322-332
A Class of Toeplitz Operators on the Hardy Space....Pages 333-350
Back Matter....Pages 351-365
....Pages 366-373