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The Role of True Finiteness in the Admissible Recursively Enumerable Degrees
Language: en
Pages: 114
Authors: Noam Greenberg
Categories: Mathematics
Type: BOOK - Published: 2006 - Publisher: American Mathematical Soc.

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When attempting to generalize recursion theory to admissible ordinals, it may seem as if all classical priority constructions can be lifted to any admissible or
A Hierarchy of Turing Degrees
Language: en
Pages: 234
Authors: Rod Downey
Categories: Computers
Type: BOOK - Published: 2020-06-16 - Publisher: Princeton University Press

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[Alpha]-c.a. functions -- The hierarchy of totally [alpha]-c.a. degrees -- Maximal totally [alpha]-c.a. degrees -- Presentations of left-c.e. reals -- m-topped
Invariant Means and Finite Representation Theory of $C^*$-Algebras
Language: en
Pages: 122
Authors: Nathanial Patrick Brown
Categories: Mathematics
Type: BOOK - Published: 2006 - Publisher: American Mathematical Soc.

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Various subsets of the tracial state space of a unital C$*$-algebra are studied. The largest of these subsets has a natural interpretation as the space of invar
Finite Sections of Band-Dominated Operators
Language: en
Pages: 104
Authors: Steffen Roch
Categories: Mathematics
Type: BOOK - Published: 2008 - Publisher: American Mathematical Soc.

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The goal of this text is to review recent advances and to present new results in the numerical analysis of the finite sections method for general band and band-
On Boundary Interpolation for Matrix Valued Schur Functions
Language: en
Pages: 122
Authors: Vladimir Bolotnikov
Categories: Mathematics
Type: BOOK - Published: 2006 - Publisher: American Mathematical Soc.

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A number of interpolation problems are considered in the Schur class of $p\times q$ matrix valued functions $S$ that are analytic and contractive in the open un