We prove that a stochastic (Markov) operator S acting on a Schatten class C_1 satisfies the Noether condition S'(A) = A and S'(A^2) = A^2, where A is a Hermitian bounded linear operator on a complex Hilbert space H, if and only if, S(E(G)XE(G)) = E(G)S(X)E(G) holds true for every Borel subset G of the real line R, where E(G) denotes the orthogonal projection coming from the spectral resolution of A. Similar results are obtained...

Recently we have focused in the problem of preparation of carbamoylo-β-lactams as a result of oxidative cyclization of malonyl enamides. In our experiments we obtain mixture of two main β-lactam products: as a result of subsequent elimination and a second as a product of substitution. All of the produced β-lactams have trans configuration what was confirmed by 1H coupling constants. However id should be stressed that in the case...

Recently, the fractional Noether's theorem derived by G. Frederico and D.F.M. Torres in [10] was proved to be wrong by R.A.C. Ferreira and A.B. Malinowska in (see [7]) using a counterexample and doubts are stated about the validity of other Noether's type Theorem, in particular ([9],Theorem 32). However, the counterexample does not explain why and where the proof given in [10] does not work. In this paper, we make a detailed analysis...

Artykuł pokazuje możliwość istnienia fenomenologii zorientowanej noematycznie i transcendentalnej, zarazem wolnej od husserlowsko-kartezjańskich dogmatycznych założeń. Oznacza to nieegologiczne pojęcie świadomości - świadomość nie jest utożsamiana z podmiotem ale jest polem w obrębie którego dopiero konstytuuje się realny podmiot i przedmiot (sama świadomość więc niczego nie konstytuuje). Taka fenomenologia ma charakter noematyczny...