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Since — according to Tix [19] — the difference of the massive and massless Brown-Ravenhall operators is bounded, Theorem 2 shows also that the energy in the massive case is bounded
Up to isomorphism, a subobject of a constant simplicial presheaf must be constant, so that the bounded cofibration condition E7 for simplicial presheaves implies a bounded
a) For all increasing (resp. By virtue of Lemma 4.7, Proposition 5.3 and Lemma 5.4, it is clear that the mapping ˜ J is a linear injection and a Banach lattice homomorphism. That
As Ω in Lemma 3.1 becomes large, we can have a considerable but finite number of fundamental solutions belonging to different classes that satisfy the bounds.. We will see that
Lipschitz condition, and used fixed point theory to prove that solutions tend exponentially.. to a constant solution and that the constant solution is
Keywords: Financial securities; Arbitrage; Farkas’ lemma; Bounded least norm problems; Steepest descent direction; Complementarity; Variational inequality; Saddle
cases, and the lognormal discount process of Section 5 is a good example, a random variable Z can be found with the property that by conditioning on it we can actually compute
Using some results from risk theory on comonotone risks and stop-loss order, we were able to show that the price of an arithmetic Asian option can be bounded from above by the price
