Rectal Dieulafoy Lesions Nunoo-Mensah, Joseph W., BMBS, FRCS; Alkari, Bassam, MD, FRCS; Murphy, Gerard J., BSC, FRCR ...
Journal of the American College of Surgeons,
02/2008, Volume:
206, Issue:
2
Journal Article
A theory of positive definite kernels in the context of Hilbert C*-modules is presented. Applications are given, including a representation of a Hilbert C*-module as a concrete space of operators and ...a construction of the exterior tensor product of two Hilbert C*-modules.
We define concepts of amenability and coamenability for algebraic quantum groups in the sense of Van Daele (1998). We show that coamenability of an algebraic quantum group always implies amenability ...of its dual. Various necessary and/or sufficient conditions for amenability or coamenability are obtained. Coamenability is shown to have interesting consequences for the modular theory in the case that the algebraic quantum group is of compact type.
Uniqueness of the trace and simplicity Murphy, Gerard J.
Proceedings of the American Mathematical Society,
12/2000, Volume:
128, Issue:
12
Journal Article
Peer reviewed
Open access
It is proved that for certain large classes of unital C*-algebras, the existence of a unique, faithful tracial state implies simplicity. An example is given to show that this implication does not ...hold for all unital C*-algebras.
C*-algebras generated by commuting isometries are analyzed. It is shown that if a C*-algebra is generated by a semigroup of commuting isometries whose range projections commute, then the C*-algebra ...is nuclear. Not all C*-algebras generated by commuting isometries are nuclear—the universal C*-algebra generated by a commuting pair of isometries is shown to be nonnuclear.
Products of positive operators Murphy, Gerard J.
Proceedings of the American Mathematical Society,
12/1997, Volume:
125, Issue:
12
Journal Article
Peer reviewed
Open access
A new, very simple proof is given of a result of P. Y. Wu which asserts that every unitary operator on an infinite-dimensional Hilbert space is a product of positive operators.
Natural methods of contraception require men to respect women and their natural cycles by maintaining a monogamous relationship and practising periodic abstinence.
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