13,447,546 research outputs found
Coherent `ab' and `c' transport theory of high- cuprates
We propose a microscopic theory of the `'-axis and in-plane transport of
copper oxides based on the bipolaron theory and the Boltzmann kinetics. The
fundamental relationship between the anisotropy and the spin susceptibility is
derived, . The
temperature and doping dependence of the in-plane, and
out-of-plane, resistivity and the spin susceptibility,
are found in a remarkable agreement with the experimental data in underdoped,
optimally and overdoped for the entire temperature
regime from up to . The normal state gap is explained and its
doping and temperature dependence is clarified.Comment: 12 pages, Latex, 3 figures available upon reques
The composition of R. Cohen's elements and the third periodic elements in stable homotopy groups of spheres
In this paper, we study the cohomology of the Morava stabilizer algebra . As an application, we show that for , if , , , then is a nontrivial product in by Adams-Novikov spectral sequence, where is created by R. Cohen \cite{Co}, is a third periodic homotopy elements
Linear orthogonality preservers of Hilbert -modules over general -algebras
As a partial generalisation of the Uhlhorn theorem to Hilbert -modules,
we show in this article that the module structure and the orthogonality
structure of a Hilbert -module determine its Hilbert -module
structure. In fact, we have a more general result as follows. Let be a
-algebra, and be Hilbert -modules, and be the ideal of
generated by . If is an
-module map, not assumed to be bounded but satisfying then there exists a unique central positive multiplier such
that As a consequence, is automatically bounded, the induced
map is adjointable, and
is isomorphic to as Hilbert -modules. If, in addition,
is bijective, then is isomorphic to .Comment: 15 page
When is |C(X x Y)| = |C(X)||C(Y)|?
Sufficient conditions on the Tychonoff spaces X and Y are found that imply that the equation in the title holds. Sufficient conditions on the Tychonoff space X are found that ensure that the equation holds for every Tychonoff space Y . A series of examples (some using rather sophisticated cardinal arithmetic) are given that witness that these results cannot be generalized much
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