1,307 research outputs found
2-local triple derivations on von Neumann algebras
We prove that every {\rm(}not necessarily linear nor continuous{\rm)} 2-local
triple derivation on a von Neumann algebra is a triple derivation,
equivalently, the set Der, of all triple derivations on is
algebraically 2-reflexive in the set of all mappings from
into .Comment: 16 page
A Book Review: The Seven Habits of Highly Effective People
The Stephen R. Covey\u27s book “The Seven Habits of Highly Effective People” tells about ways to increase individuals’ effectiveness and make them more successful. To accomplish these goals, the author proposes the practice of seven main principles or habits. These include: being proactive; beginning with the end in mind; putting first things first; thinking win-win; seeking first to understand rather than to be understood; synergizing; and sharpening the saw
Overlapping Resonances Interference-induced Transparency: The Photoexcitation Spectrum of Pyrazine
The phenomenon of "overlapping resonances interference-induced transparency"
(ORIT) is introduced and studied in detail for the
photoexcitation of cold pyrazine (CHN). In ORIT a molecule becomes
transparent at specific wavelengths due to interferences between envelopes of
spectral lines displaying overlapping resonances. An example is the
internal conversion in pyrazine where destructive
interference between overlapping resonances causes the light
absorption to disappear at certain wavelengths. ORIT may be of practical
importance in multi-component mixtures where it would allow for the selective
excitation of some molecules in preference to others. Interference induced
cross section enhancement is also shown.Comment: 13 pages, 7 figure
Magnetic reconnection with anomalous resistivity in two-and-a-half dimensions I: Quasi-stationary case
In this paper quasi-stationary, two-and-a-half-dimensional magnetic
reconnection is studied in the framework of incompressible resistive
magnetohydrodynamics (MHD). A new theoretical approach for calculation of the
reconnection rate is presented. This approach is based on local analytical
derivations in a thin reconnection layer, and it is applicable to the case when
resistivity is anomalous and is an arbitrary function of the electric current
and the spatial coordinates. It is found that a quasi-stationary reconnection
rate is fully determined by a particular functional form of the anomalous
resistivity and by the local configuration of the magnetic field just outside
the reconnection layer. It is also found that in the special case of constant
resistivity reconnection is Sweet-Parker and not Petschek.Comment: 15 pages, 4 figures, minor changes as compared to the 1st versio
- …