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Levan, A.,Crowther, P.,Grijs, R.,Langer, N.,Xu, D.,Yoon, S. C. D. Reidel Pub. Co 2016 Space science reviews Vol.202 No.1
<P>We review our current understanding of the progenitors of both long and short duration gamma-ray bursts (GRBs). Constraints can be derived from multiple directions, and we use three distinct strands; (i) direct observations of GRBs and their host galaxies, (ii) parameters derived from modelling, both via population synthesis and direct numerical simulation and (iii) our understanding of plausible analog progenitor systems observed in the local Universe. From these joint constraints, we describe the likely routes that can drive massive stars to the creation of long GRBs, and our best estimates of the scenarios that can create compact object binaries which will ultimately form short GRBs, as well as the associated rates of both long and short GRBs. We further discuss how different the progenitors may be in the case of black hole engine or millisecond-magnetar models for the production of GRBs, and how central engines may provide a unifying theme between many classes of extremely luminous transient, from luminous and super-luminous supernovae to long and short GRBs.</P>
The Environment of the Binary Neutron Star Merger GW170817
Levan, A. J.,Lyman, J. D.,Tanvir, N. R.,Hjorth, J.,Mandel, I.,Stanway, E. R.,Steeghs, D.,Fruchter, A. S.,Troja, E.,Schrøder, S. L.,Wiersema, K.,Bruun, S. H.,Cano, Z.,Cenko, S. B.,Postigo, A. de Ugarte American Astronomical Society 2017 ASTROPHYSICAL JOURNAL LETTERS - Vol.848 No.2
Contractions of Class Q and Invariant Subspaces
B. P. Duggal,C. S. Kubrusly,N. Levan 대한수학회 2005 대한수학회보 Vol.42 No.1
A Hilbert Space operator T is of class Q ifT^{2*}T^2-2kern1ptT^*T+I is nonnegative. Every paranormaloperator is of class Q, but class-Q operators are notnecessarily normaloid. It is shown that if a class-Qcontraction T has no nontrivial invariant subspace, then it is aproper contraction. Moreover, the nonnegative operatorQ=T^{2*}T^2-2kern1ptT^*T+I also is a propercontraction.
CONTRACTIONS OF CLASS Q AND INVARIANT SUBSPACES
DUGGAL, B.P.,KUBRUSLY, C.S.,LEVAN, N. Korean Mathematical Society 2005 대한수학회보 Vol.42 No.1
A Hilbert Space operator T is of class Q if $T^2{\ast}T^2-2T{\ast}T + I$ is nonnegative. Every paranormal operator is of class Q, but class-Q operators are not necessarily normaloid. It is shown that if a class-Q contraction T has no nontrivial invariant subspace, then it is a proper contraction. Moreover, the nonnegative operator Q = $T^2{\ast}T^2-2T{\ast}T + I$ also is a proper contraction.
ERRATUM TO "PARANORMAL CONTRACTIONS AND INVARIANT SUBSPACES"
Duggal, B.P.,Kubrusly, C.S.,Levan, N. Korean Mathematical Society 2004 대한수학회지 Vol.41 No.4
In our paper "Paranormal contractions and invariant subspaces" published in Journal of the Korean Mathematical Society, Volume 40 (2003), Number 6, pp.933-942, the statement to observation (1) on page 935 should read:(omitted)
Paranormal contractions and invariant subspaces
B. P. Duggal,C. S. Kubrusly,N. Levan 대한수학회 2003 대한수학회지 Vol.40 No.6
It is shown that if a paranormal contraction T has no nontrivialinvariant subspace, then it is a proper contraction. Moreover, thenonnegative operatorQ=T^{2*}T^2-2kern.5ptT^*Tkern-.5pt+kern-.5ptI also is aproper contraction. If a quasihyponormal contraction has nonontrivial invariant subspace then, in addition, its defectoperator D is a proper contraction and its itself-commutator isa trace-class strict contraction. Furthermore, if one of Q orD is compact, then so is the other, and Q and D are strictcontraction.
PARANORMAL CONTRACTIONS AND INVARIANT SUBSPACES
Duggal, B.P.,Kubrusly, C.S.,Levan, N. Korean Mathematical Society 2003 대한수학회지 Vol.40 No.6
It is shown that if a paranormal contraction T has no nontrivial invariant subspace, then it is a proper contraction. Moreover, the nonnegative operator Q = T/sup 2*/T/sup 2/ - 2T/sup */T + I also is a proper contraction. If a quasihyponormal contraction has no nontrivial invariant subspace then, in addition, its defect operator D is a proper contraction and its itself-commutator is a trace-class strict contraction. Furthermore, if one of Q or D is compact, then so is the other, and Q and D are strict ontraction.
The effect of pyridine modification of Ni–DOBDC on CO<sub>2</sub> capture under humid conditions
Bae, Youn-Sang,Liu, Jian,Wilmer, Christopher E.,Sun, Hahnbi,Dickey, Allison N.,Kim, Min Bum,Benin, Annabelle I.,Willis, Richard R.,Barpaga, Dushyant,LeVan, M. Douglas,Snurr, Randall Q. The Royal Society of Chemistry 2014 Chemical communications Vol.50 No.25
<P>The metal–organic framework Ni–DOBDC was modified with pyridine molecules to make the normally hydrophilic internal surface more hydrophobic. Experiments and molecular simulations show that the pyridine modification reduces H<SUB>2</SUB>O adsorption while retaining substantial CO<SUB>2</SUB> capacity under the conditions of interest for carbon capture from flue gas.</P> <P>Graphic Abstract</P><P>The metal–organic framework Ni–DOBDC was modified with pyridine molecules to make the normally hydrophilic internal surface more hydrophobic. <IMG SRC='http://pubs.rsc.org/services/images/RSCpubs.ePlatform.Service.FreeContent.ImageService.svc/ImageService/image/GA?id=c3cc44954h'> </P>