Range-commutativity maps on *-algebras.
Rank and the Drazin inverse in Banach algebras
Let A be an arbitrary, unital and semisimple Banach algebra with nonzero socle. We investigate the relationship between the spectral rank (defined by B. Aupetit and H. Mouton) and the Drazin index for elements belonging to the socle of A. In particular, we show that the results for the finite-dimensional case can be extended to the (infinite-dimensional) socle of A.
Rank one elements in Banach algebras
Rank, trace and determinant in Banach algebras: generalized Frobenius and Sylvester theorems
As a follow-up to a paper of Aupetit and Mouton (1996), we consider the spectral definitions of rank, trace and determinant applied to elements in a general Banach algebra. We prove a generalization of Sylvester's Determinant Theorem to Banach algebras and thereafter a generalization of the Frobenius inequality.
Rank α operators on the space C(T,X)
For 0 ≤ α < 1, an operator U ∈ L(X,Y) is called a rank α operator if implies Uxₙ → Ux in norm. We give some results on rank α operators, including an interpolation result and a characterization of rank α operators U: C(T,X) → Y in terms of their representing measures.
Rapid Emergence of Co-colonization with Community-acquired and Hospital-Acquired Methicillin-Resistant Staphylococcus aureus Strains in the Hospital Setting
Background: Community-acquired methicillin-resistant Staphylococcus aureus (CA-MRSA), a novel strain of MRSA, has recently emerged and rapidly spread in the community. Invasion into the hospital setting with replacement of the hospital-acquired MRSA (HA-MRSA) has also been documented. Co-colonization with both CA-MRSA and HA-MRSA would have important clinical implications given differences in antimicrobial susceptibility profiles and the potential...
Rapport sur la théorie des espaces linéaires topologiques sur un corps value non-archimédien
Rapport sur le prolongement analytique dans les corps values complets par la méthode des éléments analytiques quasi-connexes
Ratio limit theorems and applications to ergodic theory
Rational Approximation and Weak Analyticity. I.
Rational Approximation and Weak Analyticity. II.
Rational extensions of C(X) and semicontinuous functions [Book]
Rational modules and higher order Cauchy transforms.
Räume mit einer absorbierenden Folge kompakter Mengen.
Räume primitiver Ideale von Gruppenalgebren.
R-base dans les espaces séparables (2≤p<∞)
Real Analytic Curves in Fréchet Spaces and Their Duals.
Real and complex fundamental solutions. A way for unifying mathematical analysis.
Real and Complex Noncommutative Jordan Banch Algebras.
Real Banach Algebras. II.