Hermitian geometry and involutive algebras

DOI10.1007/BF01159182zbMath0541.46059MaRDI QIDQ794243

Mircea Martin

Publication date: 1985

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/173545

zbMATH Keywords

Grassmann manifoldequivalence theoreminvolutive algebrascongruence theoremhermitian holomorphic vector bundlesreal-analytic metrics

Mathematics Subject Classification ID

Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Methods of algebraic topology in functional analysis (cohomology, sheaf and bundle theory, etc.) (46M20) Generalizations of analytic spaces (32K99)

Related Items (6)

A unitary invariant for hyponormal operators ⋮ Holomorphic spectral theory: a geometric approach ⋮ An Introduction to Hilbert Module Approach to Multivariable Operator Theory ⋮ Specht's invariant and localization of operator tuples ⋮ Recursive formula for covariant derivatives and geometric classification of quotient modules ⋮ Curvature formulas of holomorphic curves on \(C^*\)-algebras and Cowen-Douglas operators

Cites Work

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• Complex manifolds without potential theory. (With an appendix on the geometry of characteristic classes). 2nd ed
• On Cartan's method of Lie groups and moving frames as applied to uniqueness and existence questions in differential geometry
• A complete set of unitary invariants for operators generating finite \(W^ *\)-algebras of type I
• Isometric imbedding of complex manifolds
• Characteristic roots and vectors of a diifferentiable family of symmetric matrices^†
• Complex geometry and operator theory

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