The recently discovered fully charmed tetraquark candidate $X(6900)$ is analyzed within the frameworks of effective-range expansion, compositeness relation and width saturation, a coupled multichannel dynamical study. By taking into account constraints from heavy-quark spin symmetry, coupled-channel amplitude including $J/\ensuremath{\psi}J/\ensuremath{\psi}$, ${\ensuremath{\chi}}_{c0}{\ensurem...

We show that if the space `∞/c0 contains an isometric copy of every function space over a first countable compactum or every function space over a Corson copactum of weight not exceeding the continuum then every subset of R belongs to the σfield generated by sets of the form A1×A2.We prove a similar result about isomorphic rather than isometric embeddings into `∞/c0 in terms of the σ-field of s...

This thesis presents the formal verification of the compiling specification for a simple, non-optimizing compiler from the C-like programming language C0 to VAMP assembly code. The main result is a step-by-step simulation theorem between C0 programs and the compiled code (which is specified by the compiling specification). Additionally, a C0 small-step semantics and a verification methodology f...

The conditions ensuring the correctness of the Cauchy problem dx dt = P(t)x + q(t), x(t0) = c0 on the nonnegative half-axis R+ are found, where P : R+ → Rn×n and q : R+ → Rn are locally summable matrix and vector functions, respectively, t0 ∈ R+ and c0 ∈ Rn. Consider the differential system dx dt = P(t)x + q(t) (1) with the initial condition x(t0) = c0 (2) where P : R+ → Rn×n and q : R+ → Rn ar...

INTRODUCTION There is an ongoing discussion as to whether monitoring of cyclosporine (CsA)-based immunosuppression with plasma levels two hours after medication intake (C2) offers clinical benefit over the measurement of CsA trough levels (C0) in patients after heart transplantation (HTx). In particular, data from long-term maintenance patients are not available. METHODS C0 monitoring was per...

For G a locally compact abelian group, any closed invariant proper subalgebra of CQ(G) has analytic discs in its spectrum. Related results are given for A(G) and B(G). For a compact group G it is an easy consequence of Bishop's generalized Stone-Weierstrass theorem and some well-known facts on representations that a proper (doubly) invariant uniform algebra on G cannot have G as its spectrum. (...

Classical pseudodifferential operators A on closed manifolds are considered. It is shown that the basic properties of the canonical trace TRA introduced by Kontsevich and Vishik are easily proved by identifying it with the leading nonlocal coefficient C0(A, P ) in the trace expansion of A(P−λ) (with an auxiliary elliptic operator P ), as determined in a joint work with Seeley 1995. The definiti...

We verify in this paper that the linearity and orthogonality structures of a (not necessarily local trivial) Hilbert bundle over a locally compact Hausdorff space Ω determine its unitary structure. In fact, as Hilbert bundles over Ω are exactly Hilbert C0(Ω)-modules, we have a more general set up. A C-linear map θ (not assumed to be bounded) between two Hilbert C∗-modules is said to be “orthogo...

X-ray photoelectron and high resolution electron energy loss spectroscopic (XPS-HREELS) studies have shown that the adsorption of carbon dioxide at Mg(100) surfaces at 80K is followed by a dissociative reaction leading to the formation of a metastable surface carbonate above 80K. The formation of a carbonate species is proposed to proceed through oxidation of C0 (g) by an active oxygen su...

Suppose X and Y are locally compact Hausdorff spaces, E and F are Banach spaces and F is strictly convex. We show that every linear isometry T from C0(X, E) into C0(Y, F) is essentially a weighted composition operator T f (y) = h(y)(f (ϕ(y))).