We prove that the additive group (E∗, τk(E)) of an L∞-Banach space E, with the topology τk(E) of uniform convergence on compact subsets of E, is topologically isomorphic to a subgroup of the unitary group of some Hilbert space (is unitarily representable). This is the same as proving that the topological group (E∗, τk(E)) is uniformly homeomorphic to a subset of ` κ 2 for some κ. As an immediat...

Ryanodine (Ry) sensitivity of cardiac contraction differs between teleost species, between atrium and ventricle, and according to the thermal history of the fish. The hypothesis that variability in Ry sensitivity of contraction is due to species-specific, chamber-specific, and temperature-related differences in the sarcoplasmic reticulum (SR) Ca(2+) content, was tested by comparing steady-state...

Let T denote the full Toeplitz algebra on the Bergman space of the unit ball Bn. For each subset G of L ∞, let CI(G) denote the closed two-sided ideal of T generated by all TfTg − TgTf with f, g ∈ G. It is known that CI(C(Bn)) = K the ideal of compact operators and CI(C(Bn)) = T. Despite these “extremal cases”, T does contain other non-trivial ideals. This paper gives a construction of a class ...

In a recent paper certain approximations to continuous nonlinear functionals de-ned on an L p space (1 < p < 1) are shown to exist. These approximations may be realized by sigmoidal neural networks employing a linear input layer that implements nite sums of integrals of a certain type. In another recent paper similar approximation results are obtained using elements of a general class of contin...

Strontium (Sr)-isotope values on bone from deer mice pairs from 12 field sites in the Chaco Canyon area, New Mexico, were compared with isotope values of synthetic soil waters from the same fields. The data indicate that mice obtain Sr from near-surface sources and that soil samples collected at depths ranging from 25 to 95 cm contain Sr that is more accessible to the deep roots of maize; thus,...

In this paper n is a natural number. One can prove the following propositions: (1) For every non empty subset X of E2 T and for every compact subset Y of E2 T such that X ⊆ Y holds N-boundX ¬ N-boundY. (2) For every non empty subset X of E2 T and for every compact subset Y of E2 T such that X ⊆ Y holds E-boundX ¬ E-boundY. (3) For every non empty subset X of E2 T and for every compact subset Y ...

Bay K 8644, an L-type Ca channel agonist, was shown previously to increase resting sarcoplasmic reticulum (SR) Ca loss and convert post-rest potentiation to decay in dog and ferret ventricular muscle. Here, the effects of Bay K 8644 on local SR Ca release events (Ca sparks) were measured in isolated ferret ventricular myocytes, using laser scanning confocal microscopy and the fluorescent Ca ind...

We identify the holomorphic de Rham complex of the minimal extension of a meromorphic vector bundle with connexion on a compact Riemann surface X with the L 2 complex relative to a suitable metric on the bundle and a complete metric on the punctured Riemann surface. Applying results of C. Simpson, we show the existence of a harmonic metric on this vector bundle, giving the same L complex. As a ...