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Start Over Author "T. A. Gillespie" Journal journal of the london mathematical society
6 results on '"T. A. Gillespie"'

2. LOGARITHMIC GROWTH FOR MATRIX MARTINGALE TRANSFORMS

Author

Sergei Treil, Sandra Pott, T. A. Gillespie, and Alexander Volberg

Subjects
Discrete mathematics, Doob's martingale inequality, General Mathematics, Logarithmic growth, Local martingale, Applied mathematics, Martingale (probability theory), Mathematics
Abstract

An example is given of an operator weight W that satisfies the dyadic operator Hunt–Muckenhoupt–Wheeden condition [Aopf ]d2 for which there exists a dyadic martingale transform on L2 (W) that is unbounded. The construction relates weighted boundedness to the boundedness of dyadic vector Hankel operators.

Published
2001

4. WELL-BOUNDEDNESS OF SUMS AND PRODUCTS OF OPERATORS.

Author

IAN DOUST and T. A. GILLESPIE

Subjects
*OPERATOR functions, *FUNCTIONS of bounded variation, *SCALAR field theory, *BANACH spaces, *GENERALIZED spaces
Abstract

A sufficient condition is given under which the sum, product and indeed any polynomial combination of a well-bounded operator and a commuting real scalar-type spectral operator is well-bounded. This generalizes a result of Gillespie for Hilbert space operators. It is shown in particular that if $X$ is a UMD space, then the sum of finitely many commuting real scalar-type spectral operators acting on $X$ is a well-bounded operator (a result which fails on general reflexive Banach spaces). [ABSTRACT FROM AUTHOR]

Published
2003
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6. A Spectral Theorem for Lp Translations

Author

T. A. Gillespie

Subjects
Algebra, Pure mathematics, General Mathematics, Projection-slice theorem, Riesz–Thorin theorem, Spectral theorem, Wiener–Khinchin theorem, Mathematics
Published
1975

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