1,724,362 research outputs found
Extensions of the Noncommutative Integration
No full textIn this paper we will continue the analysis undertaken in Bagarello et al. (Rend Circ Mat Palermo (2) 55:21–28, 2006), Bongiorno et al. (Rocky Mt J Math 40(6):1745–1777, 2010), Triolo (Rend Circ Mat Palermo (2) 60(3):409–416, 2011) on the general problem of extending the noncommutative integration in a *-algebra of measurable operators. As in Aiena et al. (Filomat 28(2):263–273, 2014), Bagarello (Stud Math 172(3):289–305, 2006) and Bagarello et al. (Rend Circ Mat Palermo (2) 55:21–28, 2006), the main problem is to represent different types of partial *-algebras into a *-algebra of measurable operators in Segal’s sense, provided that these partial *-algebras posses a sufficient family of positive linear functionals (states) (Fragoulopoulou et al., J Math Anal Appl 388(2):1180–1193, 2012; Trapani and Triolo, Stud Math 184(2):133–148, 2008; Trapani and Triolo, Rend Circolo Mat Palermo 59:295–302, 2010; La Russa and Triolo, J Oper Theory, 69:2, 2013; Triolo, J Pure Appl Math, 43(6):601–617, 2012). In this paper, a new condition is given in an attempt to provide a extension of the non commutative integration
An invariant analytic orthonormalization procedure with applications
No full textWe apply the orthonormalization procedure previously introduced by Bagarello and Triolo [J. Math. Phys. 48, 043505 (2007)] and adopted in connection with coherent states to Gabor frames and other examples. For instance, for Gabor frames, we show how to construct g(x) ∈ L 2(R) in such a way the functions gn(x)=e ian1xg(x+an2), n ∈ Z2 and a some positive real number, are mutually orthogonal. We discuss in some detail the role of the lattice naturally associated with the procedure in this analysis
Mesoscopic organization in ionic liquids: structural and dynamic implications.
No full textRoom temperature ionic liquids are an exciting novel class of materials1 that are composed solely of ionic species; nevertheless, due to their asymmetric chemical structure (see the figure), they show a low (<100°C) melting point. They show negligible vapor pressure and a wide tunability of the chemical-physical properties upon slight changes of the chemical details (e.g. anion and cation nature).
One of the most striking features emerging among the properties of these materials is the existence of high degree of structural heterogeneity over the nm spatial scale.
Small-Angle X-ray Scattering (SAXS) patterns have been collected on a series of ILs that are characterized by a varying alkyl chain length2. Remarkably, these materials are characterized by a low Q amorphous, whose amplitude as well as position depends on the chain length. These findings have been rationalized in terms of a nanoscale segregated morphology, where the alkyl chains self-assemble into domains embedded into the charged matrix.
Such a structural scenario can be expected to play a role in the relaxation dynamics in ILs. We collected Neutron Spin Echo measurements on a series of deuterated ILs, in order to access specific information on the collective dynamics in these salts3. These experiments highlighted evidences of deviations from the commonly observed viscosity-driven collective dynamics.
1. E. W. Castner et al., J. Chem. Phys., 2010, 132, 120901; J. Wishart, J. Phys. Chem. Lett., 2010, 1, 1629
2. A. Triolo et al., J. Phys. Chem. B, 2007, 111, 4641; Chem. Phys. Lett., 2008, 457, 362; J. Chem. Phys., 2009, 130, 164521
3. A. Triolo et al., J. Phys. Chem. B, 2009, 113, 846
Paolo Antonino Maria Triolo et. al., CAA SIENA 2015 Multispectral RTI in monitoring surfaces in archeological and cultural heritage objects. VIL in RTI mode on Egyptian artifacts
No full textPaolo Antonino Maria Triolo et. al., XII Conferenza del colore, 8-9 settembre,2016, Innovative methods for a recognizable gold leaf integration
No full textPaolo Antonino Maria Triolo et. Al, TECHNART2015 CATANIA, Historic and diagnostic survey of the Egyptian mural paintings coming from Iti’s tomb
No full textPaolo Antonino Maria Triolo, Diagnostica multispettrale, in L.Ghedin, a cura di, Il restauro dell’affresco di Giovan Martino Spanzotti a Rivarolo Canavese, Lions-Nautilus, Torino, 2016
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Paolo Antonino Maria Triolo et. al., Ancient Egyptian Coffins past • present • future Conference in Cambridge, 7–9 April 2016, Multi and hyperspectral imaging and 3D techniques for discovering Egyptian coffins, VIL in RTI mode
No full textMarriage record of Triolo, Filippe and Spoto, Rosina
No full textMarriage license for Filippe Triolo and Rosina Spoto. John Grimaldi was the Notary Public
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