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This conjecture is cited in a Hilbert space context by Halmos [I1 and, more recently, by Putnam [2 ], again for Hilbert space. In this note we will prove this conjecture as it stands above. In fact, it is an easy corollary of the more general algebraic theorem (2) formulated below.
David C. Kleinecke
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On the Spectra of Commutators [PDF]
2. R. Godement, Les fonctions de type positif et la theorie des groupes, Trans. Amer. Math. Soc. vol. 63 (1948) pp. 1-84. 3. P. R. Halmos, Measure theory, New York, 1950. 4. R. J. Koch, Tulane University Dissertation, 1953. 5. L. H. Loomis, An introduction to abstract harmonic analysis, New York, 1953. 6. K.
C. R. Putnam
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Commutative–non-commutative dualities [PDF]
We show that it is in principle possible to construct dualities between commutative and non-commutative theories in a systematic way. This construction exploits a generalization of the exact renormalization group equation (ERG). We apply this to the simple case of the Landau problem and then generalize it to the free and interacting non-canonical ...
Scholtz, F.G. +2 more
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On commutators of matrices [PDF]
Hiraku Tôyama
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Abstract People care about crime, with the spatial distribution of both actual and perceived crime affecting the local amenities from living in different areas and residential decisions. The literature finds that crime tends to happen close to the offender's residence, but does not clearly establish whether this is because the location ...
Tom Kirchmaier +2 more
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We describe a general framework for notions of commutativity based on enriched category theory. We extend Eilenberg and Kelly's tensor product for categories enriched over a symmetric monoidal base to a tensor product for categories enriched over a normal duoidal category; using this, we re-find notions such as the commutativity of a finitary algebraic
Garner, Richard, López Franco, Ignacio
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Semi-commutations and Partial commutations [PDF]
Summary: The aim of this paper is to show that a semi-commutation function can be expressed as the compound of a sequential transformation, a partial commutation function, and the reverse transformation. Moreover, we give a necessary and sufficient condition for the image of a regular language to be computed by the compound of two sequential functions ...
Clerbout, M., Roos, Y., Ryl, Isabelle
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Commutators and commutator subgroups of the Riordan group [PDF]
We calculate the derived series of the Riordan group. To do that, we study a nested sequence of its subgroups, herein denoted by $\mathcal G_k$. By means of this sequence, we first obtain the n-th commutator subgroup of the Associated subgroup. This fact allows us to get some related results about certain groups of formal power series and to complete ...
Luzón, Ana +2 more
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Operators with commutative commutants.
Given operators M and N on a Hilbert space H, suppose that M (resp. N) is the direct sum of k (resp. n) copies of an operator A having a commutative commutant. Suppose further that m and k are countable cardinalities (or, any cardinalities if H is separable) and that N is a quasi-affine transform of M (i.e., \(NX=XM\) for some injective operator X with
Radjabalipour, M., Radjavi, H.
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In this paper, we establish some boundedness for commutators generated by the singular integral operator satisfying a variant of Hörmander's condition and a weighted BMO function on weighted Hardy spaces and weighted Herz spaces.
Jie Sun, Jiamei Chen
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