114,091 research outputs found

    Controlled continuous \ast-gg-Frames in Hilbert CC^{\ast}-Modules

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    The frame theory is dynamic and exciting with various pure and applied mathematics applications. In this paper, we introduce and study the concept of Controlled Continuous \ast-gg-Frames in Hilbert CC^{\ast}-Modules, which is a generalization of discrete controlled \ast-gg-Frames in Hilbert CC^{\ast}-Modules. Also, we give some properties

    Tensor product for g-fusion frame in hilbert CC^{\ast}-modules

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    In this paper, we stady the tensor product of gg-fusion frame in Hilbert CC^{\ast}-modules and we give the frame operator for a pair of gg-fusion bessel sequences in tensor product of Hilbert CC^{\ast}-modules

    Randomized placebo-controlled EPPIC trials of AST-120 in CKD

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    Reduced GFR in patients with CKD causes systemic accumulation of uremic toxins, which has been correlated with disease progression and increased morbidity. The orally administered spherical carbon adsorbent AST-120 reduces systemic toxin absorption through gastrointestinal sequestration, which may slow disease progression in these patients. The multinational, randomized, double-blind, placebocontrolled Evaluating Prevention of Progression in CKD (EPPIC)-1 and EPPIC-2 trials evaluated the effects of AST-120 on the progression of CKD when added to standard therapy. We randomly assigned 2035 adults with moderate to severe disease (serum creatinine at screening, 2.0-5.0 mg/dl for men and 1.5- 5.0mg/dl for women) to receive either placebo or AST-120 (9 g/d). The primary end point was a composite of dialysis initiation, kidney transplantation, and serum creatinine doubling. Each trial continued until accrual of 291 primary end points. The time to primary end point was similar between the AST-120 and the placebo groups in both trials (EPPIC-1: hazard ratio, 1.03; 95% confidence interval, 0.84 to 1.27; P=0.78) (EPPIC-2: hazard ratio, 0.91; 95% confidence interval, 0.74 to 1.12; P=0.37); a pooled analysis of both trials showed similar results. The estimated median time to primary end points for the placebo groups was 124 weeks for power calculations, but actual times were 189.0 and 170.3 weeks for EPPIC-1 and EPPIC-2, respectively. Thus, disease progression was more gradual than expected in the trial populations. In conclusion, the benefit of adding AST-120 to standard therapy in patients with moderate to severe CKD is not supported by these data

    PSYNDEX Tests Review für AST 3/A - ALLGEMEINER SCHULLEISTUNGSTEST FÜR DIE 3. SCHULSTUFE - ÖSTERREICHISCHE VERSION

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    This is a PSYNDEX Tests Review of AST 3/A - ALLGEMEINER SCHULLEISTUNGSTEST FÜR DIE 3. SCHULSTUFE - ÖSTERREICHISCHE VERSION. PSYNDEX Tests Reviews are written in German and describe and evaluate psychological and educational tests used in the German-speaking countries. PSYNDEX Tests is offered by the Leibniz Institute for Psychology as open access documentation.Das ist ein PSYNDEX Tests Review zu AST 3/A - ALLGEMEINER SCHULLEISTUNGSTEST FÜR DIE 3. SCHULSTUFE - ÖSTERREICHISCHE VERSION. PSYNDEX Tests Reviews beschreiben und bewerten zentrale psychologische und pädagogische Testverfahren, die in den deutschsprachigen Ländern eingesetzt werden, nach einem standardisierten Raster. PSYNDEX Tests wird durch das Leibniz-Institut für Psychologie als Open Access Dokumentation angeboten.publishedVersio

    TWO-PHOTON SPECTROSCOPY OF THE F1ΠgF^{1}\Pi_{g} AND f3πgf^{3}\pi_{g} STATES OF F2F^{\ast}_{2}

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    ^{\ast} Research supported by AFOSR 1^{1} K. Hoshiba et al. J. Phys. B 18, 1.875 (1985). 2^{2} T. Sakai et al., J. Phys. B. 21, 229 (1988).Author Institution: Molecular Physics Laboratory, SRI InternationalThe F1ΠgF^{1}\Pi_{g} and f3Πgf^{3}\Pi_{g} states of F2F_{2} are excited from the ground 1Σg+^{1}\Sigma^{+}_{g} by two photons near 207 nm and detected by vuv fluorescence or by ionization by a third photon. The laser source for these measurements is an excimer-pumped dye laser operating with PBBO dye at 415 nm. This light is doubled in a βBaB2O4\beta-BaB_{2}O_{4} crystal and focused into a cell containing a mixture of F2F_{2} in He. The uv wavelengths were calibrated against the B2ΠX2ΠB^{2}\Pi-X^{2}\Pi (3.0) band in NO, which was calibrated against I2I_{2} in the visible. Vibrational levels v=0,1,2v' = 0, 1, 2 were observed in the F1ΠgF^{1}\Pi_{g} state and v=3v' = 3 in the f3Πgf^{3}\Pi_{g} state, based on the previous electron-impact assignments1assignments^{1}, and partially resolved rotationally (the effective excitation linewidth is 1cm11 cm^{-1}). These assignments are supported by simulations of the two-photon excitation spectra. Although the fluorescence has not yet been spectrally resolved, we believe that it arises predominantly from the triplet state even when the singlet is initially excited. In the latter case, the fluorescence is temporally delayed, and increases in intensity as the He density is increased. The two-phonon excitation scheme we have developed should be useful in investigating the kinetics of the 158 nm F2F_{2} laser, which is believed to arise from a transition from the outer well of the f3Πgf^{3}\Pi_{g} state to a weakly bound 3Πu3\Pi_{u} state correlating to ground state atoms.$^{2}

    Some remarks on the equality W(E,F)=K(E,F)W(E,F^\ast) = K(E,F^\ast)

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    summary:We show that the equality W(E,F)=K(E,F)W(E,F^\ast )=K(E,F^\ast ) is a necessary condition for the validity of certain results about isomorphic properties in the projective tensor product EπFE \otimes _\pi F of two Banach spaces under some approximation property type assumptions

    gg^\ast -closed sets and a new separation axiom in Alexandroff spaces

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    summary:In this paper we introduce the concept of gg^{\ast }-closed sets and investigate some of its properties in the spaces considered by A. D. Alexandroff [1] where only countable unions of open sets are required to be open. We also introduce a new separation axiom called TwT_{w}-axiom in the Alexandroff spaces with the help of gg^{\ast }-closed sets and investigate some of its consequences

    A note on ideal C^\ast-completions and amenability

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    For a discrete group GG, we consider certain ideals Ic0(G)\mathcal{I}\subset c_0(G) of sequences with prescribed rate of convergence to zero. We show that the equality between the full group C^\ast-algebra of GG and the C^\ast-completion CI(G)\mathrm{C}_{\mathcal{I}}^\ast(G) in the sense of Brown and Guentner implies that GG is amenable

    On the real rank of CC^\ast-algebras of nilpotent locally compact groups

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    If GG is an almost connected, nilpotent, locally compact group then the real rank of the CC^\ast-algebra C(G)C^\ast (G) is given by RR(C(G))=rank(G/[G,G])=rank(G0/[G0,G0])\operatorname {RR} (C^\ast (G)) = \operatorname {rank} (G/[G,G]) = \operatorname {rank} (G_0/[G_0,G_0]), where G0G_0 is the connected component of the identity element. In particular, for the continuous Heisenberg group G3G_3, RRC(G3))=2\operatorname {RR} C^\ast (G_3))=2

    Construction of continuous K-g-Frames in Hilbert CC^{\ast}-Modules

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    In this work, we provide some constructions and the sum of new continuous K-g-frames in HilbertCC^{\ast}-Modules. We provide certain necessary and sufficient conditions for some adjointable operators on H\mathcal{H}, under which new continuous K-g-frames can be retrieved from those that already exist. Additionally, we discuss the sum of continuous K-g-frames, discover some of their characterizations, and offer some adjointable operators to construct new continuous K-g-frames from the previous ones
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