The Cameron-Storvick function space integral: An L(Lp, Lp′) theory

OPERATOR SPACE Lp EMBEDDING THEORY I

Let X 1 and X 2 be subspaces of quotients of R ⊕ OH and C ⊕ OH respectively. We use new free probability techniques to construct a completely isomorphic embedding of the Haagerup tensor product X 1 ⊗ h X 2 into the predual of a sufficiently large QWEP von Neumann algebra. As an immediate application, given any 1 < q ≤ 2, our result produces a completely isomorphic embedding of ℓq (equipped with...

On an Integral Function of an Integral Function

six-cusped sextic, whose cusps lie on a conic, and many properties of this projected curve similar to those of the plane quartic can be at once obtained from the above general theorems. It remains to be added that the nature of the harmouic envelope T6, and the configuration of its contact-quadrics U^ in relation to the 86 double-sixes of the cubic surface by which T6 is defined, require furthe...

AN INTRODUCTION TO THE THEORY OF DIFFERENTIABLE STRUCTURES ON INFINITE INTEGRAL DOMAINS

A special class of differentiable functions on an infinite integral domain which is not a field is introduced. Some facts about these functions are established and the special case of z is studied in more detail

ON Lp CONTINUITY OF SINGULARFOURIER INTEGRAL

An Integral Theory of Consciousness

An extensive data search among various types of developmental and evolutionary sequences yielded a `four quadrant' model of consciousness and its development (the four quadrants being intentional, behavioural, cultural, and social). Each of these dimensions was found to unfold in a sequence of at least a dozen major stages or levels. Combining the four quadrants with the dozen or so major level...