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Showing 1 to 10 of 10 for “"Commutant"”.
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The Near Normality of the Commutant of a Moufang Loop
<p>We investigate conditions under which the commutant of a Moufang loop is normal and related topics. We begin by giving relevant background on Moufang loops and normality. We then prove a theorem showing how close the commutant is to being normal: cR(x, y)R(x, y)R(x, y) = c. We then prove a …
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Lifting Module Maps Between Different Noncommutative Domain Algebras
… and Foias extended Sarason's approach into a commutant lifting theorem. Both the theorem and the technique of the proof have become standard tools in control theory. In particular, the commutant lifting theorem approach lends itself to a wide range of generalizations. This thesis concerns one …
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Kadison -Singer algebras
… generating" in the sense that it generates the commutant of the diagonal as a von Neumann algebra.</p><p>This dissertation consists of three chapters. In chapter 1, we give some background and the definition of Kadison-Singer algebras (as well as corresponding Kadisalong with some basic …
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Conception et réalisation des bobines PCB à base de matériau magnétique souple pour des convertisseurs HF
… Boost synchrone à base de transistors GaN commutant à une fréquence de 1 MHz. Dans le but de tenir compte finement des contraintes thermiques durant la phase de conception de la bobine, des améliorations sont proposées, on se basant sur les résultats de validation expérimentale.
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Nonunital multiplier pairs and remarks on generalized group C*-algebras
… operators and the approximate double commutant of the left multiplication operators.</p><p>In the second part we will suppose f, g : T→T are continuous functions on the unit circle T and let B (f, g) denote the universal C*-algebra generated by U and V subject to the conditions …
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On the Necessity of Complex Numbers in Quantum Mechanics
… we are able to prove the von Neumann Double Commutant Theorem also on quaternionc Hilbert spaces. Clearly, this property turns out to be crucial.
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OPERATOR RANGES OF SHIFTS AND C*-ALGEBRAS (STRANGE RANGE, QUASI-SIMILARITY, LATTICE)
… the invariant operator ranges of the commutant of the unilateral shift, is a proper sub-lattice of the lattice of invariant operator ranges of the unilateral shift, S. The notion of a strange operator range for S of order n where n (ELEM) is introduced and it is demonstrated that there …
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Ideals and Maximal Commutative Subrings of Graded Rings
… of the ring has a nonzero intersection with the commutant of the center of the neutral component subring. In particular, if the neutral component subring is maximal commutative in the ring this yields that each nonzero ideal of the ring has a nonzero intersection with the neutral component …
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Multidimensional Linear Systems and Robust Control
… problem which lends itself to a solution via the commutant lifting theorem on the polydisk. The second part details a system whose time-axis is described by a free semigroup $\mathcal{F}_{d}$. Such a system can be represented by the so-called noncommutative Givone-Roesser, or noncommutative …
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Frames In Hilbert C*-modules
… set of all the unitary operators in the double commutant of the unitary group. Similar result holds for the set of all the general frame generators where the unitary operators are replaced by invertible and adjointable operators. Consequently, the set of all the Parseval frame generators is …