69 research outputs found
k-bitransitive and compound operators on Banach spaces
In this this paper, we introduce new classes of operators in complex Banach
spaces, which we call k-bitransitive operators and compound operators to study
the direct sum of diskcyclic operators. We create a set of sufficient
conditions for k-bitransitivity and compound. We show the relation between
topologically mixing operators and compound operators. Also, we extend the
Godefroy-Shapiro Criterion for topologically mixing operators to compound
operators
The valuation of currency options by fractional Brownian motion
This research aims to investigate a model for pricing of currency options in which value governed by the fractional Brownian motion model (FBM). The fractional partial differential equation and some Greeks are also obtained. In addition, some properties of our pricing formula and simulation studies are presented, which demonstrate that the FBM model is easy to use.© 2016 The Author(s). This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.fi=vertaisarvioitu|en=peerReviewed
A Note on Wave Equation and Convolutions
We study the first-order nonhomogenous wave equation. We extend the convolution theorem into a general case with a double convolution as the nonhomogenous term. The uniqueness and continuity of the solution are proved and we provide some examples in order to validate our results
A review of some works in the theory of diskcyclic operators
In this paper, we give a brief review concerning diskcyclic operators and
then we provide some further characterizations of diskcyclic operators on
separable Hilbert spaces. In particular, we show that if
has a disk orbit under that is somewhere dense in then the
disk orbit of under need not be everywhere dense in . We
also show that the inverse and the adjoint of a diskcyclic operator need not be
diskcyclic. Moreover, we establish another diskcyclicity criterion and use it
to find a necessary and sufficient condition for unilateral backward shifts
that are diskcyclic operators. We show that a diskcyclic operator exists on a
Hilbert space over the field of complex numbers if and only if
or . Finally we give a
sufficient condition for the somewhere density disk orbit to be everywhere
dense.Comment: To appear in bull. malays. math. sci. so
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