𝔖 Scriptorium
✦   LIBER   ✦
πŸ“

Analytic Hilbert modules

✍ Scribed by Xiaoman Chen, Kunyu Guo

Publisher
Chapman & Hall/CRC
Year
2003
Tongue
English
Leaves
200
Series
Chapman & Hall/CRC research notes in mathematics series 433
Edition
1
Category
Library
⬇  Acquire This Volume

No coin nor oath required. For personal study only.

✦ Synopsis

The seminal 1989 work of Douglas and Paulsen on the theory of Hilbert modules over function algebras precipitated a number of major research efforts. This in turn led to some intriguing and valuable results, particularly in the areas of operator theory and functional analysis. With the field now beginning to blossom, the time has come to collect those results in one volume. Written by two of the most active and often-cited researchers in the field, Analytic Hilbert Modules offers a clear, logical survey of recent developments, including advances made by authors and others. It provides much-needed insight into function theory of several variables and includes significant results published here for the first time in areas such as characteristic space theory, rigidity phenomena, the equivalence problem, Arveson modules, extension theory, and reproducing Hilbert spaces on n-dimensional complex space.

πŸ“œ SIMILAR VOLUMES

Hilbert C*-Modules
πŸ“ Hilbert C*-Modules
✍ Vladimir Markovich Manuǐlov, EvgeniΔ­ Vadimovich TroitοΈ sοΈ‘kiΔ­ πŸ“‚ Library πŸ“… 2005 πŸ› American Mathematical Society 🌐 English

Based on lectures delivered by the authors at Moscow State University, this volume presents a detailed introduction to the theory of Hilbert $C^*$-modules. Hilbert $C^*$-modules provide a natural generalization of Hilbert spaces arising when the field of scalars $\mathbf{C}$ is replaced by an arbitr

Hilbert C*-modules
πŸ“ Hilbert C*-modules
✍ Vladimir Markovich Manuǐlov, EvgeniΔ­ Vadimovich TroitοΈ sοΈ‘kiΔ­ πŸ“‚ Library πŸ“… 2005 πŸ› American Mathematical Soc. 🌐 English

Based on lectures delivered by the authors at Moscow State University, this volume presents a detailed introduction to the theory of Hilbert $C^*$-modules. Hilbert $C^*$-modules provide a natural generalization of Hilbert spaces arising when the field of scalars $\mathbf{C}$ is replaced by an arbitr

Hilbert functions of filtered modules
πŸ“ Hilbert functions of filtered modules
✍ Giuseppe Valla, Maria Evelina Rossi (auth.) πŸ“‚ Library πŸ“… 2010 πŸ› Springer-Verlag Berlin Heidelberg 🌐 English

<p>Hilbert functions play major parts in Algebraic Geometry and Commutative Algebra, and are also becoming increasingly important in Computational Algebra. They capture many useful numerical characters associated to a projective variety or to a filtered module over a local ring. Starting from the pi

Hilbert Functions of Filtered Modules
πŸ“ Hilbert Functions of Filtered Modules
✍ Giuseppe Valla, Maria Evelina Rossi (auth.) πŸ“‚ Library πŸ“… 2010 πŸ› Springer-Verlag Berlin Heidelberg 🌐 English

<p>Hilbert functions play major parts in Algebraic Geometry and Commutative Algebra, and are also becoming increasingly important in Computational Algebra. They capture many useful numerical characters associated to a projective variety or to a filtered module over a local ring. Starting from the pi