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Results 1 - 10
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98
Spatial Isomorphism of Abelian Von Neumann Algebras with Countably Decomposable Commutants
, 1997
"... Let A be an abelian von Neumann algebra of operatorn on a Hilbcrt space H cmd let i b commutant A ' be countably decomposable. If G(.) h the uvlonid rpectrd meuun of A (ree Definition 5) on the Borel sets of its maximal ideal space M, then G(.) hu CGSpmperty in H cmd consequently ha8 two multi ..."
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Let A be an abelian von Neumann algebra of operatorn on a Hilbcrt space H cmd let i b commutant A ' be countably decomposable. If G(.) h the uvlonid rpectrd meuun of A (ree Definition 5) on the Borel sets of its maximal ideal space M, then G(.) hu CGSpmperty in H cmd consequently ha8 two
The Largest Countable Inductive Set Is A Mouse Set
, 1999
"... Let R be the least ordinal such that L (R) is admissible. Let A = fx 2 R j (9ff ! R ) s.t. x is ordinal definable in L ff (R) g. It is well known that (assuming determinacy) A is the largest countable inductive set of reals. Let T be the theory: ZFC \Gamma Replacement + "There exists ! ..."
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Cited by 1 (0 self)
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Let R be the least ordinal such that L (R) is admissible. Let A = fx 2 R j (9ff ! R ) s.t. x is ordinal definable in L ff (R) g. It is well known that (assuming determinacy) A is the largest countable inductive set of reals. Let T be the theory: ZFC \Gamma Replacement + "There exists
The Countable Character of Uncountable Graphs
, 2004
"... We show that a graph can always be decomposed into edge-disjoint subgraphs of countable cardinality in which the edge-connectivities and edge-separations of the original graph are preserved up to countable cardinals. We also show that the vertex set of any graph can be endowed with a well-ordering w ..."
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We show that a graph can always be decomposed into edge-disjoint subgraphs of countable cardinality in which the edge-connectivities and edge-separations of the original graph are preserved up to countable cardinals. We also show that the vertex set of any graph can be endowed with a well
Countable Unions of Simple Sets in the Core Model
- THE J. SYMBOLIC LOGIC
, 1996
"... We follow [8] in asking when a set of ordinals X ` ff is a countable union of sets in K, the core model. We show that, analogously to L, an X closed under the canonical \Sigma 1 Skolem function for K ff can be so decomposed, provided K is such that no !-closed filters are put on its measure seque ..."
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Cited by 1 (1 self)
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We follow [8] in asking when a set of ordinals X ` ff is a countable union of sets in K, the core model. We show that, analogously to L, an X closed under the canonical \Sigma 1 Skolem function for K ff can be so decomposed, provided K is such that no !-closed filters are put on its measure
Adaptive Overload Control for Busy Internet Servers
, 2003
"... As Internet services become more popular and pervasive, a critical problem that arises is managing the performance of services under extreme overload. This paper presents a set of techniques for managing overload in complex, dynamic Internet services. These techniques are based on an adaptive admiss ..."
Abstract
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Cited by 150 (2 self)
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admission control mechanism that attempts to bound the 90th-percentile response time of requests flowing through the service. This is accomplished by internally monitoring the performance of the service, which is decomposed into a set of event-driven stages connected with request queues. By controlling
Frames and Stable Bases for Shift-Invariant Subspaces of . . .
, 1994
"... Let X be a countable fundamental set in a Hilbert space H, and let T be the operator T : ` 2 (X) ! H : c 7! X x2X c(x)x: Whenever T is well-defined and bounded, X is said to be a Bessel sequence. If, in addition, ran T is closed, then X is a frame. Finally, a frame whose corresponding T is inje ..."
Abstract
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Cited by 133 (29 self)
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Let X be a countable fundamental set in a Hilbert space H, and let T be the operator T : ` 2 (X) ! H : c 7! X x2X c(x)x: Whenever T is well-defined and bounded, X is said to be a Bessel sequence. If, in addition, ran T is closed, then X is a frame. Finally, a frame whose corresponding
Descriptive complexity of countable unions of Borel rectangles
, 2013
"... Abstract. We give, for each countable ordinal ξ≥1, an example of a ∆0 2 countable union of Borel rectangles that cannot be decomposed into countably many Π0 ξ rectangles. In fact, we provide a graph of a partial injection with disjoint domain and range, which is a difference of two closed sets, and ..."
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Cited by 2 (1 self)
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Abstract. We give, for each countable ordinal ξ≥1, an example of a ∆0 2 countable union of Borel rectangles that cannot be decomposed into countably many Π0 ξ rectangles. In fact, we provide a graph of a partial injection with disjoint domain and range, which is a difference of two closed sets
Admissible representations of probability measures
- Electronic Notes in Theoretical Computer Science
"... In a recent paper, probabilistic processes are used to generate Borel probability measures on topological spaces X that are equipped with a representation in the sense of Type-2 Theory of Effectivity. This gives rise to a natural representation of the set M(X) of Borel probability measures on X. We ..."
Abstract
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Cited by 22 (0 self)
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compare this representation to a canonically constructed representation which encodes a Borel probability measure as a lower semicontinuous function from the open sets to the unit interval. This canonical representation turns out to be admissible with respect to the weak topology on M(X). Moreover, we
Admissible wavelets associated with the Heisenberg group
- Pacific J. Math
, 1997
"... Let NAK be the Iwasawa decomposition of group SU(n + 1, 1). The Iwasawa subgroup P = NA can be identified with the generalized upper half–plane U n+1 and has a natural representation U on the L 2 –space of the Heisenberg group L 2 (H n). We decompose L 2 (H n) into the direct sum of the irreducible ..."
Abstract
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Cited by 15 (3 self)
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the irreducible invariant closed subspaces of L 2 (H n) to L 2,ν (U n+1), the weighted L 2 –spaces on U n+1. By selecting a set of mutual orthogonal admissible wavelets, we get the direct sum decomposition of L 2,ν (U n+1) with the first component A ν (U n+1), the (weighted) Bergman space.
Σ0 α-Admissible Representations (Extended Abstract)
"... Abstract. We investigate a hierarchy of representations of topological spaces by measurable functions that extends the traditional notion of admissible representations common to computable analysis. Specific instances of these representations already occur in the literature (for example, the naive C ..."
Abstract
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Cited by 2 (0 self)
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previous results to generalize to arbitrary countably based T0 topological spaces. In addition, for a class of topological spaces that include the reals (with the Euclidean topology) and the power set of ω (with the Scott-topology), we give a complete characterization of the functions
Results 1 - 10
of
98
