For every Banach space Z with a shrinking unconditional basis satisfying an upper p-estimate for some p > 1, an isomorphically polyhedral Banach space is constructed which has an unconditional basis and admits a quotient isomorphic to Z. It follows that reflexive Banach spaces with an unconditional basis and non-trivial type, Tsirelson's original space and (P c0) ℓp for p ∈ (1, ∞), are isomorph...

Background An overview of compulsory admission and civil commitment in Germany is presented. Legal, administrative, and methodological aspects are described. The expiry of compulsory admission or retention in a closed psychiatric ward is not strictly identical to legal commitment. In Germany, civil commitment (a form of guardianship) is regulated on a nationwide basis. Public commitment (throug...

Let X be a Banach space with an unconditional finite-dimensional Schauder decomposition (E n). We consider the general problem of characterizing conditions under which one can construct an unconditional basis for X by forming an unconditional basis for each E n. For example, we show that if sup dim E n < ∞ and X has Gordon-Lewis local unconditional structure then X has an unconditional basis of...

History of the Patient from official documents The patient, Z., was born in February 1926, and in 1933 at the age of 7 was graded educationally defective. Until 1942 he attended special schools, but he was then charged with "feloniously stealing a plane and two chisels of the value together of twenty-six shillings". This precipitated action under the Mental Deficiency Act, and he was placed und...

Privacy has become an issue larger than celebrity evasion of the paparazzi. While academic health research has observed strict vigilance in the guardianship of health information databases, new legislation faced by all organizations raises the bar. Short of building a moat to secure precious data, research organizations, such as the Institute for Clinical Evaluative Sciences (ICES), are introdu...

The main result is that a separable Banach space with the weak∗ unconditional tree property is isomorphic to a subspace as well as a quotient of a Banach space with a shrinking unconditional basis. A consequence of this is that a Banach space is isomorphic to a subspace of a space with an unconditional basis iff it is isomorphic to a quotient of a space with an unconditional basis, which solves...