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Commutator Structure of Operator Idealswodzicki@math.berkeley.edu 23 August 2001 (has links)
No description available.
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Absolute Continuity of the Spectrum of a Two-Dimensional SchroedingerM.Sh. Birman, R.G. Shterenberg, T.A. Suslina, tanya@petrov.stoic.spb.su 11 September 2000 (has links)
No description available.
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Representations of Operator AlgebrasFuller, Adam Hanley 08 May 2012 (has links)
The following thesis is divided into two main chapters. In Chapter 2 we study isometric representations of product systems of correspondences over the semigroup 𝐍ᵏ which are minimal dilations of finite dimensional, fully coisometric representations. We show the existence of a unique minimal cyclic coinvariant subspace for all such representations. The compression of the representation to this subspace is shown to be a complete unitary invariant. For a certain class of graph algebras the nonself-adjoint WOT-closed algebra generated by these representations is shown to contain the projection onto the minimal cyclic coinvariant subspace. This class includes free semigroup algebras. This result extends to a class of higher-rank graph algebras which includes higher-rank graphs with a single vertex.
In chapter 3 we move onto semicrossed product algebras. Let 𝒮 be the semigroup 𝒮=Σ𝒮ᵢ, where 𝒮ᵢ is a countable subsemigroup of the additive semigroup 𝐑₊ containing 0. We consider representations of 𝒮 as contractions {Tᵣ }ᵣ on a Hilbert space with the Nica-covariance property: Tᵣ*Tᵤ=TᵤTᵣ* whenever t^s=0. We show that all such representations have a unique minimal isometric Nica-covariant dilation.
This result is used to help analyse the nonself-adjoint semicrossed product algebras formed from Nica-covariant representations of the action of 𝒮 on an operator algebra 𝒜 by completely contractive endomorphisms. We conclude by calculating the C*-envelope of the isometric nonself-adjoint semicrossed product algebra (in the sense of Kakariadis and Katsoulis).
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Representations of Operator AlgebrasFuller, Adam Hanley 08 May 2012 (has links)
The following thesis is divided into two main chapters. In Chapter 2 we study isometric representations of product systems of correspondences over the semigroup 𝐍ᵏ which are minimal dilations of finite dimensional, fully coisometric representations. We show the existence of a unique minimal cyclic coinvariant subspace for all such representations. The compression of the representation to this subspace is shown to be a complete unitary invariant. For a certain class of graph algebras the nonself-adjoint WOT-closed algebra generated by these representations is shown to contain the projection onto the minimal cyclic coinvariant subspace. This class includes free semigroup algebras. This result extends to a class of higher-rank graph algebras which includes higher-rank graphs with a single vertex.
In chapter 3 we move onto semicrossed product algebras. Let 𝒮 be the semigroup 𝒮=Σ𝒮ᵢ, where 𝒮ᵢ is a countable subsemigroup of the additive semigroup 𝐑₊ containing 0. We consider representations of 𝒮 as contractions {Tᵣ }ᵣ on a Hilbert space with the Nica-covariance property: Tᵣ*Tᵤ=TᵤTᵣ* whenever t^s=0. We show that all such representations have a unique minimal isometric Nica-covariant dilation.
This result is used to help analyse the nonself-adjoint semicrossed product algebras formed from Nica-covariant representations of the action of 𝒮 on an operator algebra 𝒜 by completely contractive endomorphisms. We conclude by calculating the C*-envelope of the isometric nonself-adjoint semicrossed product algebra (in the sense of Kakariadis and Katsoulis).
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OPE- AlgebrasRosellen, Markus. January 2002 (has links)
Thesis (Dr. rer. nat.)--Rheinische Friedrich-Wilhelms-Universität Bonn, 2002. / Includes bibliographical references (p. 136-140) and index.
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On binomial and trinomial operator representations of certain polynomialsKhan, Mumtaz Ahmad, Shukla, Ajay Kumar 25 September 2017 (has links)
A new technique is evolved to give operator representation of certain polynomials.
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On the Spectra of Momentum OperatorsWatson, Cody Edward 09 May 2014 (has links)
No description available.
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Geometry of the tensor product of C*-algebrasBlecher, David Peter January 1988 (has links)
No description available.
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Some problems on the semigroups associated with second order elliptic expressions with singular real measurable coefficientsSobol, Zeev January 2000 (has links)
No description available.
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Integrated architecture for intelligent telerobotic system designGraves, Alan R. January 2001 (has links)
No description available.
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