# Browse Dissertations and Theses - Mathematics by Title

• (1987)
A theorem of D. W. Dean states that all Grothendieck spaces with the Dunford-Pettis property fail to admit Schauder decompositions. Similar results of H. P. Lotz concern the uniform convergence of ergodic operators and ...

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• (1996)
We study some of the complexity classes below P and, in particular, we concentrate on $AC\sp0\subseteq NC\sp1\subseteq L=$ LogSpace. We also study the nondeterministic classes $NAC\sp{i}$ and $NNC\sp{i},$ for $i\ge0,$ which ...

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• (2013-08-22)
In this dissertation we are interested in the study of dynamical systems that display rigidity and weak mixing. We are particularly interested in the topological analogue of rigidity, called uniform rigidity. A map $T$ ...

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• (1961)

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• (1957)

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• (1995)
The whole area of deformations of Galois representations started in 1986 with a ground-breaking paper by Barry Mazur where he established the first existence theorem and some examples in the case of odd two-dimensional ...

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• (1989)
The Updated Conjugate Subspaces method, an modified quasi-Newton method for solving nonlinear unconstrained minimization problems, has flexibility of choosing different quadratic approximation at each iteration and therefore ...

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• (1959)

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• (1970)

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• (1967)

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• (1996)
Dade has made a conjecture expressing the number $k(B, d)$ of characters of a given defect d in a given p-block B of a finite group G in terms of the corresponding numbers $k(b, d)$ for blocks b of certain p-local subgroups of G.

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• (1992)
The McKay-Alperin-Dade Conjecture states that the number of complex irreducible characters with a given defect d in a p-block B of a finite group G can be expressed in terms of an alternating sum of the numbers of complex ...

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• (1975)

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• (1965)

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• (1985)
Much work has been done on minimal submanifolds of a given manifold and also on harmonic maps between manifolds. It is known, for instance, that the critical sets of the volume functional and the energy functional coincide ...

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• (1996)
In this work we extend the idea of warped products, which was previously defined on smooth Riemannian manifolds, to geodesic metric spaces and prove the analogue of the theorems on spaces with curvature bounded from above.

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• (1966)

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• (1971)

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• (1993)
In the language of local algebra, the classical purity of branch locus theorem states that a module finite ring extension of local normal domains $B\to A$ which is unramified in codimension one, with B a regular local ring, ...

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• (1982)
The interplay between geometry, topology, measure theory and operator theory has long been evident in the study of the Radon-Nikodym property. Recently results of substantial interest in the structure of Banach spaces have ...

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