Jörg Eschmeier's mathematical work

DOI10.1007/978-3-031-50535-5_1MaRDI QIDQ6610385

Michael Hartz, Mihai Putinar, Raúl E. Curto, Ernst Albrecht

Publication date: 25 September 2024

zbMATH Keywords

spectral theorycommutative tuples of linear operators

Mathematics Subject Classification ID

Biographies, obituaries, personalia, bibliographies (01A70) Several-variable operator theory (spectral, Fredholm, etc.) (47A13) History of operator theory (47-03)

Cites Work

• A multiplier algebra functional calculus
• Quasinilpotent Operators and the Invariant Subspace Problem
• Dual algebras generated by von Neumann n-tuples over strictly pseudoconvex sets
• Spectra of Analytic Toeplitz Tuples on Hardy Spaces
• Cowen-Douglas tuples and fiber dimensions
• On the Maximal Ideal Space of a Sarason-Type Algebra on the Unit Ball
• On the Hilbert-Samuel multiplicity of Fredholm tuples
• Fredholm spectrum and growth of cohomology groups
• Derivations on Toeplitz Algebras
• Closed range property for holomorphic semi-Fredholm functions
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• An analytic Grothendieck Riemann Roch theorem
• Absolute continuity for commuting row contractions
• Hilbert modules and complex geometry. Abstracts from the workshop held April 20--26, 2014.
• On Schatten-class perturbations of Toeplitz operators
• On the essential commutant of analytic Toeplitz operators associated with spherical isometries
• The spectral picture of \((L_ A,R_ B)\)
• Essential normality of homogeneous submodules
• Some invariant subspaces for subnormal operators
• A general framwork for a multi-operator functional calculus
• A duality theorem for an arbitrary operator
• On two notions of the local spectrum for several commuting operators
• Characteristic function of a pure commuting contractive tuple
• On CNC commuting contractive tuples
• Unitary extensions of Hilbert \(A(D)\)-modules split
• Dual Toeplitz operators on the sphere via spherical isometries
• Beurling-type representation of invariant subspaces in reproducing kernel Hilbert spaces
• Grothendieck's comparison theorem and multivariable Fredholm theory
• Hilbert modules and complex geometry. Abstracts from the workshop held April 5th -- April 11th, 2009.
• Equivalence of decomposability and 2-decomposability for several commuting operators
• Spectral decompositions and decomposable multipliers
• Spectral theory and sheaf theory. II
• Hyponormal operators with thick spectra have invariant subspaces
• Invariant subspaces for subscalar operators
• A decomposable Hilbert space operator which is not strongly decomposable
• On quotients and restrictions of generalized scalar operators
• On decomposable operators
• Algebras of subnormal operators
• Local properties of Taylor's analytic functional calculus
• Invariant subspaces for operators with Bishop's property \((\beta{})\) and thick spectrum
• Funktionalkalküle in mehreren Veränderlichen für stetige lineare Operatoren auf Banachräumen
• On operators commuting with Toeplitz operators modulo the compact operators
• Spectral decompositions on Banach spaces
• On two questions of I. Colojoara and C. Foias
• Subalgebras of \(C^*\)-algebras. III: Multivariable operator theory
• Representations of \(H^ \infty(G)\) and invariant subspaces
• Carathéodory-Fejér interpolation on polydisks
• The Dirac operator of a commuting \(d\)-tuple.
• Invariant subspaces and localizable spectrum
• Function theory of several variables
• Toeplitz operators with pluriharmonic symbol on the unit ball
• Wandering subspace property for homogeneous invariant subspaces
• Bergman inner functions and \(m\)-hypercontractions
• Multipliers with natural local spectra on commutative Banach algebras
• \(K\)-inner functions and \(K\)-contractions
• Multivariable Bergman shifts and Wold decompositions
• Fiber dimension for invariant subspaces
• Essential normality, essential norms and hyperrigidity
• Toeplitz projections and essential commutants
• Geometric Arveson-Douglas conjecture
• Dilations, wandering subspaces, and inner functions
• Reflexivity for subnormal systems with dominating spectrum in product domains
• Samuel multiplicity and Fredholm theory
• Spectral maximal spaces and decomposable operators in Banach space
• Residually decomposable operators in Banach spaces
• Residual properties for closed operators on Fréchet spaces
• The analytic-functional calculus for several commuting operators
• Composition of inner mappings on the ball
• Algebras of subnormal operators on the unit polydisc.
• Spherical contractions and interpolation problems on the unit ball
• Spectral Inclusion Theorems
• The essential spectrum of Toeplitz tuples with symbols in \(H^{\infty } + C\)
• Cowen-Douglas operators and dominating sets
• Inner functions and spherical isometries
• On the reflexivity of multivariable isometries
• Operator Theory and Complex Geometry
• Tensor products and elementary operators.
• Bishop's condition (ß) and joint invariant subspaces.
• Representations of AlgLat(T)
• Operators with rich invariant subspace lattices.
• Essentially subnormal operators
• The Finite Fibre Problem and an Index Formula for Elementary Operators
• Invariant Subspaces for Spherical Contractions
• Analytical Functional Models and Local Spectral Theory
• On the essential spectrum of Banach-space operators

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