Search results for "6b"
showing 6 items of 66 documents
Diameter 2 properties and convexity
2015
We present an equivalent midpoint locally uniformly rotund (MLUR) renorming $X$ of $C[0,1]$ on which every weakly compact projection $P$ satisfies the equation $\|I-P\| = 1+\|P\|$ ($I$ is the identity operator on $X$). As a consequence we obtain an MLUR space $X$ with the properties D2P, that every non-empty relatively weakly open subset of its unit ball $B_X$ has diameter 2, and the LD2P+, that for every slice of $B_X$ and every norm 1 element $x$ inside the slice there is another element $y$ inside the slice of distance as close to 2 from $x$ as desired. An example of an MLUR space with the D2P, the LD2P+, and with convex combinations of slices of arbitrary small diameter is also given.
Reproducing pairs of measurable functions
2017
We analyze the notion of reproducing pair of weakly measurable functions, which generalizes that of continuous frame. We show, in particular, that each reproducing pair generates two Hilbert spaces, conjugate dual to each other. Several examples, both discrete and continuous, are presented.
Synthesis of pyrazolo[4,3-c][1,2,6]benzothiadiazocine, a new ring system as potential COX inhibitor
2012
Derivatives of the new ring system 1,4-dihydropyrazolo[4,3-c][1,2,6] benzothiadiazocin-11(10H)one 5,5-dioxide were synthesized in five or six steps in 57-66% overall yields and tested as COX inhibitors.
On Limits at Infinity of Weighted Sobolev Functions
2022
We study necessary and sufficient conditions for a Muckenhoupt weight $w \in L^1_{\mathrm{loc}}(\mathbb R^d)$ that yield almost sure existence of radial, and vertical, limits at infinity for Sobolev functions $u \in W^{1,p}_{\mathrm{loc}}(\mathbb R^d,w)$ with a $p$-integrable gradient $|\nabla u|\in L^p(\mathbb R^d,w)$. The question is shown to subtly depend on the sense in which the limit is taken. First, we fully characterize the existence of radial limits. Second, we give essentially sharp sufficient conditions for the existence of vertical limits. In the specific setting of product and radial weights, we give if and only if statements. These generalize and give new proofs for results of…
The Bishop-Phelps-Bollobás property for bilinear forms and polynomials
2014
For a $\sigma$-finite measure $\mu$ and a Banach space $Y$ we study the Bishop-Phelps-Bollobás property (BPBP) for bilinear forms on $L_1(\mu)\times Y$, that is, a (continuous) bilinear form on $L_1(\mu)\times Y$ almost attaining its norm at $(f_0,y_0)$ can be approximated by bilinear forms attaining their norms at unit vectors close to $(f_0,y_0)$. In case that $Y$ is an Asplund space we characterize the Banach spaces $Y$ satisfying this property. We also exhibit some class of bilinear forms for which the BPBP does not hold, though the set of norm attaining bilinear forms in that class is dense.
Il problema della definizione della "illiceità"della mediazione nel nuovo reato di traffico di influenze illecite
2022
Le modifiche apportate al delitto di traffico d’influenze illecite ad opera della legge n. 3/2019 hanno accentuato il deficit di determinatezza che già caratterizzava la fattispecie sin dalla sua introduzione, delineando un modello di incriminazione incapace di selezionare le condotte di intermediazione penalmente rilevanti distinguendole dalla attività di lobbying consentita. Il lavoro analizza la specifica questione dell’interpretazione del predicato di “illiceità” della mediazione esaminando le diverse tesi proposte in dottrina e in giurisprudenza. Conclusivamente, l’Autore ritiene che l’interpretazione restrittiva dell’art. 346-bis c.p., che inquadra la fattispecie come delitto “avampos…