Let A be a unital Banach algebra and let J be a closed two-sided ideal of A. We prove that if any invertible element of A/J has an invertible lifting in A, then the quotient homomorphism Φ : A → A/J is a spectral interpolant. This result is used to obtain a noncommutative multivariable analogue of the spectral commutant lifting theorem of Bercovici, Foiaş, and Tannenbaum. This yields spectral v...

ACKNOWLEDGEMENTS This thesis would not have been possible without the help and support of many extraordinary people. I am indebted to all of them. I wish to thank my advisor Allen Tannenbaum for his support, guidance, and his joyfulness, making it a pleasure to work with him and in his lab. I feel very indebted to Larry Jacobs, for his genuine support, interest and friendship, especially throug...

C TJRRENT COLORIMETRIC METHODS for the measurement of formaldehyde in the presence of methenamine salts appear misleading. The principal problems with these technics include the release of formaldehyde (1, 2) from intact methenamine and the nonspecificity of the reaction producing color with other compounds present in urine. However, a modification of the method of Tannenbaum and Bricker (3) ap...

This study aims to explore residents’ attitudes toward tourism and how these attitudes could be influenced by factors such as of one’s subjective sense of well-being and personal satisfaction with life. The study’s empirical geographical context is Taormina, a Sicilian community with high touristic frequency. Taormina is a popular resort town in Sicily with many interesting sights and attractio...

The views and conclusions contained in this document are those of the authors and should not be interpreted as representing the official policies, either expressed or implied, of the National Science Foundation, or the U.S. government. We are grateful to Alex Rudnicky from CMU for providing the training data to us and to Yifen Huang, CMU, for discussing the project with us. Abstract A variety o...

The Anshel-Anshel-Goldfeld (AAG) key-exchange protocol was implemented and studied with the braid groups as its underlying platform. The length-based attack, introduced by Hughes and Tannenbaum, has been used to cryptanalyze the AAG protocol in this setting. Eick and Kahrobaei suggest to use the polycyclic groups as a possible platform for the AAG protocol. In this paper, we apply several known...

ing have generally indicated that the family plays an important and positive role in the development of talents and potentials of gifted children (e.g., Bloom, 1985; Csikszentmihalyi, Rathunde, & Whalen, 1993; Klein & Tannenbaum, 1992; Olszewski, Kulieke, & Buescher, 1987; Piirto, 1999; Smutny, 1998). Specifically, in nurturing creativity of gifted children, the family could provide the environ...

In this just completed research program, we developed several new directions for our work in controlled active vision. We have developed a general framework for geometric observer-like structures based on nonparametric implicit (level set) curve descriptions of dynamically varying shapes. Special emphasis was given to the geometric nature of the dynamical system as well as the key issue of robu...

We thank Dr. Rayne for the comments on our publication. It should be stated at the outset that none of the comments Dr. Rayne makes challenges the validity of the experimental data indicating that 25 of the 28hydroxylated PCB's tested bind to the calf uterine estrogen receptor withmeasurable affinity. The objectives as set out in our publication were achieved. Regarding the applicability of mod...