108,690 research outputs found

    A Characterization of Subspaces and Quotients of Reflexive Banach Spaces with Unconditional Bases

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    We prove that the dual or any quotient of a separable reflexive Banach space with the unconditional tree property has the unconditional tree property. Then we prove that a separable reflexive Banach space with the unconditional tree property embeds into a reflexive Banach space with an unconditional basis. This solves several long standing open problems. In particular, it yields that a quotient of a reflexive Banach space with an unconditional finite dimensional decomposition embeds into a reflexive Banach space with an unconditional basis

    Commutators on â„“1\ell_1

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    The main result is that the commutators on ℓ1\ell_1 are the operators not of the form λI+K\lambda I + K with λ≠0\lambda\neq 0 and KK compact. We generalize Apostol's technique (1972, Rev. Roum. Math. Appl. 17, 1513 - 1534) to obtain this result and use this generalization to obtain partial results about the commutators on spaces \X which can be represented as \displaystyle \X\simeq (\bigoplus_{i=0}^{\infty} \X)_{p} for some 1≤p<∞1\leq p<\infty or p=0p=0. In particular, it is shown that every compact operator on L1L_1 is a commutator. A characterization of the commutators on ℓp1⊕ℓp2⊕...⊕ℓpn\ell_{p_1}\oplus\ell_{p_2}\oplus...\oplus\ell_{p_n} is given. We also show that strictly singular operators on ℓ∞\ell_{\infty} are commutators.Comment: 17 pages. Submitted to the Journal of Functional Analysi

    Surface flux pinning in superconducting amorphous (Mo0.6Ru0.4)B18

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    Superconducting critical current density was measured as a function of a perpendicular applied magnetic field in glassy (Mo0.6Ru0.4)82B18. The pinning force density was observed to depend linearly on 1/w, where w is the sample width measured perpendicular to both the current and field. This dependence is attributed to pinning by the sample edges. The bulk pinning contribution can be separated from the edge pinning contribution by extrapolation of the Fp vs 1/w curve. The edge contribution of the flux pinning was nearly eliminated by electrolytically polishing the sample. The contribution of the flux pinning profile due to edge pinning is analyzed in terms of the dynamic pinning model modified for edge pinning

    Experimental research studies on tools for extravehicular maintenance in space, phase 2 Final report

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    Space tool configurations for extravehicular maintenanc

    Development of a Space Vehicle Electromagnetic Interference/compatibility Specification. Volume 3 - System Specification

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    This specification represents a new approach to controlling electromagnetic interference. In this approach the system integration contractor will be responsible for the development of discrete specification limits to be utilized on the program to which this specification is applied. The specification limits imposed upon subsystem contractors will be developed by the use of a computer program, available from the procuring agency, which is designed to consider the total system electromagnetic environment in the computation of these limits. The integration contractor will be required to mathematically model those circuits which represent required emitters and receptors of electromagnetic energy on the space vehicle. There are contained herein, a list of available computer models into which must be inserted particular parameters of the spacecraft subsystems. These functional models, when inserted into the computer program, will develop discrete specification limits based upon the requirements of the particular system modelled

    Solid-state interdiffusion reactions in Ni/Ti and Ni/Zr multilayered thin films

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    We have performed a comparative transmission electron microscopy study of solid-state interdiffusion reactions in multilayered Ni/Zr and Ni/Ti thin films. The Ni-Zr reaction product was amorphous while the Ni-Ti reaction product was a simple intermetallic compound. Because thermodynamic and chemical properties of these two alloy systems are similar, we suggest kinetic origins for this difference in reaction product

    A measurement of energetic test electron interactions with a plasma

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    Interaction of energetic test electrons with dense high temperature plasma and energy dissipation distributio

    Aerodynamic characteristics at low Reynolds numbers of several heat-exchanger configurations for wind-tunnel use

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    In response to design requirements of the National Transonic Facility, aerodynamic tests were conducted to determine the pressure-drop, flow-uniformity, and turbulence characteristics of various heat-exchanger configurations as a function of Reynolds number. Data were obtained in air with an indraft flow apparatus operated at ambient temperature and pressure. The unit Reynolds number of the tests varied from about 0.06 x 10 to 6th power to about 1.3 x 10 to 6th power per meter. The test models were designed to represent segments of full-scale tube bundles and included bundles of round tubes with plate fins in both staggered and inline tube arrays, round tubes with spiral fins, elliptical tubes with plate fins, and an inline grouping of tubes with segmented fins
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