Many-Body Theory of Dilute Bose-Einstein Condensates with Internal Degrees of Freedom

The Bogoliubov theory of weakly interacting bosons is generalized to Bose-Einstein condensates with internal degrees of freedom so that a single effective Hamiltonian produces various many-body ground states or metastable spin domains and the corresponding collective modes on an equal footing.Comment: 4pages, no figures, accepted for publication in Physical Review

Some analysis on amalgamated free products of von Neumann algebras in non-tracial setting

Several techniques together with some partial answers are given to the questions of factoriality, type classification and fullness for amalgamated free product von Neumann algebras.Comment: 3rd version; no essential change; typos correcte

"Trying to Make Sense of the Bank of Japan's Monetary Policy since the Exit from Quantitative Easing"

In this short note I review the Bank of Japan's monetary policy since its exit from the so-called quantitative easing regime early in 2006. The major characteristic of the policy stance during the period, called Strategy 2 below, has been to adjust the policy interest rate gradually upward in response to a healthy real economy despite stagnant behavior in consumer prices. Such a policy stance can be contrasted with a hypothetical strategy, Strategy 1, whereby the Bank of Japan would have kept the policy rate at lower levels, possibly at zero percent, until inflation starts to show an upward trend more clearly. The two strategies are compared on many fronts with particular attention to well-known recent empirical regularities about inflation -a smaller response of inflation to output and larger uncertainties about the response. Various comparisons of the two strategies offered here, though far from conclusive, tend to support Strategy 1 over Strategy 2. In my discussion of the two strategies I also comment on some of the major features of the Nishimura article in this issue.

On the predual of non-commutative H∞H^\infty

The unique predual $M_\star/A_\perp$ of a non-commutative $H^\infty$-algebra $A = H^\infty(M,\tau)$ is investigated. In particular, we will prove the liftability property of weakly relatively compact subsets in $M_\star/A_\perp$ to $M_\star$.Comment: 10 pages, Final version, to appear in BLM