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991.
《Mathematische Nachrichten》2018,291(8-9):1240-1268
In this work we deal with solvability of first‐order differential equations in the form , where L is a planar complex vector field, elliptic everywhere except along a simple closed curve Σ on which it is tangent and vanishes of order . In contrast with the local solvability, it is shown that the zero order term p has influence in the solvability in a full neighborhood of Σ. 相似文献
992.
《Mathematische Nachrichten》2018,291(4):699-703
This paper deals, given an arbitrary locally compact Abelian group, with the existence of integrable functions all whose convolution powers are essentially unbounded. 相似文献
993.
《Mathematische Nachrichten》2018,291(1):7-23
We compute Betti numbers of both the components of the moduli space of rank 2 semi‐stable torsion‐free sheaves with fixed determinant over a reducible nodal curve with two smooth components intersecting at a node. We also compute the intersection Betti numbers of the moduli space. 相似文献
994.
Sergio Albeverio Yuri Kondratiev Roman Nikiforov Grygoriy Torbin 《Bulletin des Sciences Mathématiques》2014
The paper is devoted to the study of fractal properties of subsets of the set of non-normal numbers with respect to Rényi f -expansions generated by continuous increasing piecewise linear functions defined on [0,+∞). All such expansions are expansions for real numbers generated by infinite linear IFS f={f0,f1,…,fn,…} with the following list of ratios Q∞=(q0,q1,…,qn,…). 相似文献
995.
An action of a finite group on a closed 2-manifold is called almost free if it has a single orbit of points with nontrivial stabilizers. It is called large when the order of the group is greater than or equal to the genus of the surface. We prove that the orientation-preserving large almost free actions of G on closed orientable surfaces correspond to the Nielsen equivalence classes of generating pairs of G . We classify the almost free actions on the surfaces of genera 3 and 4, find the large almost free actions of the alternating group A5, and give various other examples. 相似文献
996.
In this paper we study the reverse mathematics of two theorems by Bonnet about partial orders. These results concern the structure and cardinality of the collection of initial intervals. The first theorem states that a partial order has no infinite antichains if and only if its initial intervals are finite unions of ideals. The second one asserts that a countable partial order is scattered and does not contain infinite antichains if and only if it has countably many initial intervals. We show that the left to right directions of these theorems are equivalent to ACA0 and ATR0, respectively. On the other hand, the opposite directions are both provable in WKL0, but not in RCA0. We also prove the equivalence with ACA0 of the following result of Erdös and Tarski: a partial order with no infinite strong antichains has no arbitrarily large finite strong antichains. 相似文献
997.
Egor A. Alekhno 《Positivity》2009,13(1):3-20
Let T be a positive operator on a Banach lattice E. Some properties of Weyl essential spectrum σew(T), in particular, the equality , where is the set of all compact operators on E, are established. If r(T) does not belong to Fredholm essential spectrum σef(T), then for every a ≠ 0, where T−1 is a residue of the resolvent R(., T) at r(T). The new conditions for which implies , are derived. The question when the relation holds, where is Lozanovsky’s essential spectrum, will be considered. Lozanovsky’s order essential spectrum is introduced. A number of
auxiliary results are proved. Among them the following generalization of Nikol’sky’s theorem: if T is an operator of index zero, then T = R + K, where R is invertible, K ≥ 0 is of finite rank. Under the natural assumptions (one of them is ) a theorem about the Frobenius normal form is proved: there exist T-invariant bands such that if
, where , then an operator on Di is band irreducible.
相似文献
998.
K. C. Sivakumar 《Positivity》2009,13(1):277-286
In this article, a new characterization for the nonnegativity of Moore–Penrose inverses of Gram operators over Hilbert spaces
is presented. The main result generalizes the existing result for invertible Gram operators.
相似文献
999.
P. Christopher Staecker 《Journal of Fixed Point Theory and Applications》2009,5(2):237-247
We give axioms which characterize the local Reidemeister trace for orientable differentiable manifolds. The local Reidemeister
trace in fixed point theory is already known, and we provide both uniqueness and existence results for the local Reidemeister
trace in coincidence theory. 相似文献
1000.
A. J. Mkrtchyan 《Mathematische Nachrichten》2019,292(11):2441-2451
For multiple power series centered at the origin we consider the problem of its analytic continuability into a sectorial domain. The condition for continuability is formulated in terms of a holomorphic function that interpolates the series coefficients. For series in one variable this problem has been studied in the works of E. Lindelöf, N. Arakelian, and others. 相似文献