Spaces of Compact Operators.
Spaces of compact operators which are -ideals in .
Spaces of operators as continuous function spaces.
Spectral integration and spectral theory for non-Archimedean Banach spaces.
Spectral Invariance for Algebras of Pseudodifferential operators on Besov-Triebel-Lizorkin spaces.
Spectral synthesis and operator synthesis
Relations between spectral synthesis in the Fourier algebra A(G) of a compact group G and the concept of operator synthesis due to Arveson have been studied in the literature. For an A(G)-submodule X of VN(G), X-synthesis in A(G) has been introduced by E. Kaniuth and A. Lau and studied recently by the present authors. To any such X we associate a -submodule X̂ of ℬ(L²(G)) (where is the weak-* Haagerup tensor product ), define the concept of X̂-operator synthesis and prove that a closed set E...
Spectral trajectories,duality and inductive-projective limits of Hilbert spaces
Spectral well-behaved *-representations
In this brief account we present the way of obtaining unbounded *-representations in terms of the so-called "unbounded" C*-seminorms. Among such *-representations we pick up a special class with "good behaviour" and characterize them through some properties of the Pták function.
Spectrality Criteria for Unbounded Operators with Real Spectrum.
Standard generalized vectors for partial O*-algebras
Standard generalized vectors in the space of Hilbert-Schmidt operators
Star products and local line bundles
The notion of a local line bundle on a manifold, classified by 2-cohomology with real coefficients, is introduced. The twisting of pseudodifferential operators by such a line bundle leads to an algebroid with elliptic elements with real-valued index, given by a twisted variant of the Atiyah-Singer index formula. Using ideas of Boutet de Monvel and Guillemin the corresponding twisted Toeplitz algebroid on any compact symplectic manifold is shown to yield the star products...
Strictly Cosingular Operators on (DF)-Spaces.
Strongly compact algebras.
An algebra of bounded linear operators on a Hilbert space is said to be strongly compact if its unit ball is relatively compact in the strong operator topology. A bounded linear operator on a Hilbert space is said to be strongly compact if the algebra generated by the operator and the identity is strongly compact. This notion was introduced by Lomonosov as an approach to the invariant subspace problem for essentially normal operators. First of all, some basic properties of strongly compact algebras...
Structural properties of operator spaces
nonstandard bases: case of mutually unbiased bases.
Subalgebras of graph -algebras.
Subalgebras to a Wiener type algebra of pseudo-differential operators
We study general continuity properties for an increasing family of Banach spaces of classes for pseudo-differential symbols, where was introduced by J. Sjöstrand in 1993. We prove that the operators in are Schatten-von Neumann operators of order on . We prove also that and , provided . If instead , then . By modifying the definition of the -spaces, one also obtains symbol classes related to the spaces.
Subproduct systems.
Suites de décomposition d'un espace de Banach à base inconditionnelle. Noyaux d'opérateurs définis sur certains espaces d'opérateurs