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A remark on operator-norm convergence of Trotter-Kato product formula (2000)

Tamura, Hiroshi

Springer

Integral equations and operator theory 37 (2000), S. 350-356

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ISSN: 1420-8989

Schlagwort(e): 47D03 ; 47B25 ; 41A80

Quelle: Springer Online Journal Archives 1860-2000

Thema: Mathematik

Notizen: Abstract An example is given which clarifies the present situation of the operator norm convergence of Trotter-Kato product formula. It shows that the rate of convergence of the formula with respect to the operator norm obtained in [NZ2] is best possible. It also yields a counter-example of the operator norm convergence of the formula in another case.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1007/BF01194484

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Digitale Medien

Pd(II)-catalyzed copolymerization of a norbornadiene derivative with substituted phenylacetylenes (1997)

Tamura, Hiroshi ; Kanamaru, Hitoshi ; Hirose, Osamu ; [weitere]

Weinheim : Wiley-Blackwell

Macromolecular Rapid Communications 18 (1997), S. 651-657

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ISSN: 1022-1336

Schlagwort(e): Chemistry ; Polymer and Materials Science

Quelle: Wiley InterScience Backfile Collection 1832-2000

Thema: Chemie und Pharmazie , Physik

Notizen: Copolymerizations of diethyl 7-oxabicyclo[2.2.1]hepta-2,5-diene-2,3-dicarboxylate (DOHDD) with phenylacetylene (PA) or p-methoxyphenylacetylene (MeOPA) were successfully performed in chloroform using PdBr2 as catalyst. The products of reactivity ratios r1 · r2 for poly(DOHDD-co-PA) and poly(DOHDD-co-MeOPA) are 0.026 and 0.0077, respectively. These values suggest a maximum degree of alternating sequences of 86 and 92% in the two systems, hence a high alternating tendency. It is interesting to note that the present copolymerizations occur by combination of different types of monomer, alkene and alkyne.

Zusätzliches Material: 4 Ill.