A classification of ideals in crossed products.
A classification of projectors
A positive operator A and a closed subspace of a Hilbert space ℋ are called compatible if there exists a projector Q onto such that AQ = Q*A. Compatibility is shown to depend on the existence of certain decompositions of ℋ and the ranges of A and . It also depends on a certain angle between A() and the orthogonal of .
A classification of separable Rosenthal compacta and its applications [Book]
A classification result for simple real approximate interval algebras.
A classification theorem for nuclear purely infinite simple -algebras.
A coding of separable Banach spaces. Analytic and coanalytic families of Banach spaces
When the set of closed subspaces of C(Δ), where Δ is the Cantor set, is equipped with the standard Effros-Borel structure, the graph of the basic relations between Banach spaces (isomorphism, being isomorphic to a subspace, quotient, direct sum,...) is analytic non-Borel. Many natural families of Banach spaces (such as reflexive spaces, spaces not containing ℓ₁(ω),...) are coanalytic non-Borel. Some natural ranks (rank of embedding, Szlenk indices) are shown to be coanalytic ranks. Applications...
A coefficient related to some geometric properties of a Banach space.
A Coifman-Rochberg type characterization of quasi-power weights.
A coincidence point theorem for multivalued mappings in 2-Menger spaces.
A comment on free group factors
Let M be a finite von Neumann algebra acting on the standard Hilbert space L²(M). We look at the space of those bounded operators on L²(M) that are compact as operators from M into L²(M). The case where M is the free group factor is particularly interesting.
A common fixed point theorem for a commuting family of weak* continuous nonexpansive mappings
It is shown that if 𝓢 is a commuting family of weak* continuous nonexpansive mappings acting on a weak* compact convex subset C of the dual Banach space E, then the set of common fixed points of 𝓢 is a nonempty nonexpansive retract of C. This partially solves an open problem in metric fixed point theory in the case of commutative semigroups.
A commutative neutrix convolution of distributions and the exchange formula
A commutativity theorem for Banach algebras
A commutator theorem with applications.
We give an extension of the commutator theorems of Jawerth, Rochberg and Weiss [9] for the real method of interpolation. The results are motivated by recent work by Iwaniek and Sbordone [6] on generalized Hodge decompositions. The main estimates of these authors are based on a commutator theorem for a specific operator acting on Lp spaces and through the use of the complex method of interpolation. In this note we give an extension of the Iwaniek-Sbordone theorem to general real interpolation scales....
A compact convex set with no extreme points
A compact imbedding result of Lipschitz manifolds.
A Compact Operator Characterization of l1.
A compact set without Markov’s property but with an extension operator for -functions
We give an example of a compact set K ⊂ [0, 1] such that the space ℇ(K) of Whitney functions is isomorphic to the space s of rapidly decreasing sequences, and hence there exists a linear continuous extension operator . At the same time, Markov’s inequality is not satisfied for certain polynomials on K.
A compactness criterion of mixed Krasnoselskiĭ-Riesz type in regular ideal spaces of vector functions.
A comparative analysis of Bernstein type estimates for the derivative of multivariate polynomials
We compare the yields of two methods to obtain Bernstein type pointwise estimates for the derivative of a multivariate polynomial in a domain where the polynomial is assumed to have sup norm at most 1. One method, due to Sarantopoulos, relies on inscribing ellipses in a convex domain K. The other, pluripotential-theoretic approach, mainly due to Baran, works for even more general sets, and uses the pluricomplex Green function (the Zaharjuta-Siciak extremal function). When the inscribed ellipse method...