The spatial flatness and injectiveness of Connes operator algebras.
The spectral mapping theorem for evolution semigroups on spaces of vector-valued functions.
The Spectral Radius Formula in Quotient Algebras.
The spectral topology in rings
The spectral topology of a ring is easily defined, has familiar applications in elementary Banach algebra theory, and appears relevant to abstract Fredholm and stable range theory.
The spin of the ground state of an atom.
In this paper we address a question posed by M. and T. Hoffmann-Ostenhof, which concerns the total spin of the ground state of an atom or molecule. Each electron is given a value for spin, ±1/2. The total spin is the sum of the individual spins.
The Splitting Relation for Köthe Spaces.
The stabilisation trick for coactions.
The stability of bases in Banach and Hilbert spaces.
The stability of multiplicative semigroup homomorphisms to real normed algebras, I.
The Stability of the Euler Characteristic for Hilbert Complexes.
The stable range of C*-algebras.
The standard form of von Neumann algebras.
The State Space of the K0-group of a Simple Separable C*-algebra.
The stationary phase method in Gevrey classes and Fourier integral operators on ultradistributions
The Steinitz constant of the plane.
The Steinitz theorem on rearrangement of series for nuclear spaces.
The Stieltjes moment problem in vector lattices.
The Stieltjes transform of distributions.
The strong Morita equivalence for coactions of a finite-dimensional C*-Hopf algebra on unital C*-algebras
Following Jansen and Waldmann, and Kajiwara and Watatani, we introduce notions of coactions of a finite-dimensional C*-Hopf algebra on a Hilbert C*-bimodule of finite type in the sense of Kajiwara and Watatani and define their crossed product. We investigate their basic properties and show that the strong Morita equivalence for coactions preserves the Rokhlin property for coactions of a finite-dimensional C*-Hopf algebra on unital C*-algebras.
The strong spectral extension property does not imply the multiplicative Hahn-Banach property
An example is given of a semisimple commutative Banach algebra that has the strong spectral extension property but fails the multiplicative Hahn-Banach property. This answers a question posed by M. J. Meyer in [4].