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Symplectic geometry is the geometry underlying Hamiltonian dynamics, and symplectic mappings arise as time-1-maps of Hamiltonian flows. The spectacular rigidity phenomena for symplectic mappings discovered in the last two decades show that certain things cannot be done by a symplectic mapping. For instance, Gromov's famous ""non-squeezing'' theorem states that one cannot map a ball into a thinner cylinder by a symplectic embedding. The aim of this book is to show that certain other things can be done by symplectic mappings. This is achieved by various elementary and explicit symplectic embedding.

Symplectic geometry. --- Embeddings (Mathematics) --- Géométrie symplectique --- Plongements (Mathématiques) --- Imbeddings (Mathematics) --- Geometry, Algebraic --- Immersions (Mathematics) --- Geometry, Differential

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Embeddings (Mathematics) --- Locally convex spaces --- Martingales (Mathematics) --- Stochastic processes --- Spaces, Locally convex --- Linear topological spaces --- Imbeddings (Mathematics) --- Geometry, Algebraic --- Immersions (Mathematics)

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The Bidual of C(X) I

Analytical spaces --- Banach spaces --- Duality theory (Mathematics) --- Embeddings (Mathematics) --- 515.12 --- 517.986 --- 517.986 Topological algebras. Theory of infinite-dimensional representations --- Topological algebras. Theory of infinite-dimensional representations --- 515.12 General topology --- General topology --- Imbeddings (Mathematics) --- Geometry, Algebraic --- Immersions (Mathematics) --- Algebra --- Mathematical analysis --- Topology --- Functions of complex variables --- Generalized spaces --- Banach spaces.

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Lie groups --- Symmetric spaces --- Algebraic varieties --- Embeddings (Mathematics) --- 512.81 --- Imbeddings (Mathematics) --- Geometry, Algebraic --- Immersions (Mathematics) --- Varieties, Algebraic --- Linear algebraic groups --- Spaces, Symmetric --- Geometry, Differential --- Groups, Lie --- Lie algebras --- Topological groups --- Algebraic varieties. --- Lie groups. --- Symmetric spaces. --- Embeddings (Mathematics). --- 512.81 Lie groups

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Banach-Raum --- Embeddings (Mathematics) --- Function spaces --- Hardy spaces --- Plongements (Mathématiques) --- Espaces fonctionnels --- Hardy, Espaces de --- Sobolev-Raum --- Integraloperator --- Sobolev-Einbettung --- 517.988 --- 517.988 Nonlinear functional analysis and approximation methods --- Nonlinear functional analysis and approximation methods --- Spaces, Hardy --- Functional analysis --- Functions of complex variables --- Spaces, Function --- Imbeddings (Mathematics) --- Geometry, Algebraic --- Immersions (Mathematics)