Showing papers in "Filomat in 2002"
TL;DR: In this paper, the relationship between Kaplansky's lemma about locally algebraic operators and non singularity for pairs of operators in the sense of Joseph L Taylor is explored.
Abstract: We explore the relationship between Kaplansky's lemma about locally algebraic operators, a dual to Kaplansky's lemma, and non singularity for pairs of operators in the sense of Joseph L Taylor
3 citations
2 citations
TL;DR: In this paper, the authors define the transformation for the coecients of an N-linear connection on E = Osc 2 M by a transformation of nonlinear connections, and determine the set of all general conformal almost symplectic Nlinear connections on E.
Abstract: The aim of this paper 1 is to find the transformation for the coecients of an N-linear connection on E = Osc 2 M; by a transformation of nonlinear connections, to define in the bundle of accelerations the general conformal almost symplectic N-linear connection notion and to determine the set of all general conformal almost symplectic N-linear connections on E. We treat also some special clases of general conformal almost symplectic N-linear connections on E.
2 citations
TL;DR: In this paper, a construction of a non-trivial geodesic mapping from a Kahlerian space to a KG is presented, which admits non-Trivial mapping onto KG.
Abstract: Geodesic mappings from a Kahlerian space Kn onto a Kahlerian space ¯ Kn will be investigated in this paper. We present a construction of Kahlerian space Kn which admits non-trivial geodesic mapping onto Kahlerian space ¯ Kn.
2 citations
TL;DR: In this article, the authors attempt to deconstruct the Arens-Royden Theorem, and to oer an abstraction of the spectral picture of an operator, and show dramatically why the invertible group of operators on certain product Banach spaces is not connected.
Abstract: In this note we attempt to deconstruct the Arens-Royden Theorem, and to oer an abstraction of the spectral picture of an operator. We also show dramatically why the invertible group of operators on certain product Banach spaces is not connected.
2 citations
TL;DR: In this paper, the comparability condition of two dierential operators with constant coecients was studied and some conditions for comparability of two operators were given. But these conditions are not applicable to the case of partial dierentials.
Abstract: The comparison of dierential operators is a problem of the theory of partial dierential operators with constant coecients. This problem up to now doesn't have a complete solution. It was formulated in the sixties by Lars Hormander in his monograph "The Analysis of Lin- ear Partial Dierential Operators". Many facts of the theory of partial dierential equations can be formulated by using the concept of pre-order relation over the set of dierential operators, however it is too compli- cated to check the comparability condition of two dierential operators. In this paper we get some sucient conditions for the comparability of two dierential operators. 1
1 citations
TL;DR: In this paper, the second order Cesaro sequence spaces of non-absolute type Xp(¢ 2 ) for 1 • p • 1 were defined and studied, but it seems that the characterizations of their fl-duals given there do not hold for 1 < p• 1.
Abstract: The second order Cesaro sequence spaces of non-absolute type Xp(¢ 2 ) for 1 • p • 1 were defined and studied in (1). It seems, however, that the characterizations of their fl-duals given there do not hold for 1 < p • 1. In this paper, we determine the fl-duals (Xp(¢ 2 )) fl for 1 • p • 1.