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  • 1. Abramov, Viktor
    et al.
    Paal, Eugen
    Silvestrov, Sergei
    Mälardalen University, School of Education, Culture and Communication.
    Stolin, Alexander
    Preface [Special issue devoted to the 4th Baltic-Nordic Workshop “Algebra, Geometry and Mathematical Physics”]2010In: Proceedings of the Estonian Academy of Sciences, ISSN 1736-6046, E-ISSN 1736-7530, Vol. 59, no 4Article in journal (Refereed)
  • 2.
    Carlsen, Toke Meier
    et al.
    Norwegian University of Science and Technology (NTNU), Trondheim, Norway .
    Silvestrov, Sergei
    Mälardalen University, School of Education, Culture and Communication.
    On the K-theory of the C*-algebra associated with a one-sided shift space2010In: Proceedings of the Estonian Academy of Sciences, ISSN 1736-6046, E-ISSN 1736-7530, Vol. 59, no 4, p. 272-279Article in journal (Refereed)
    Abstract [en]

    One-sided shift spaces are a special kind of non-invertible topological dynamical system with which one can associate a C*-algebra. We show how to construct the C*-algebra associated with a one-sided shift space as the Cuntz-Pimsner C*-algebra of a C*-correspondence and use this to compute its K-theory.

  • 3.
    Darpö, Erik
    Mathematical Institute, St Giles, Oxford.
    Some modern developments in the theory of real division algebras2010In: Proceedings of the Estonian Academy of Sciences, ISSN 1736-6046, E-ISSN 1736-7530, Vol. 59, no 1, p. 53-59Article in journal (Refereed)
    Abstract [en]

    The study of real division algebras was initiated by the construction of the quaternion and the octonion algebras in the mid-19th century. In spite of its long history, the problem, of classifying all finite-dimensional real division algebras is still unsolved. We review the theory of this problem, with focus on recent contributions.

  • 4.
    Khan, Asif
    et al.
    AWKUM, Dept Chem, Khyber Pakhtunkhwa 23200, Pakistan..
    Naeem, Muhammad
    AWKUM, Dept Chem, Khyber Pakhtunkhwa 23200, Pakistan..
    Zekker, Ivar
    Univ Tartu, Inst Chem, Ravilal 4a, EE-50411 Tartu, Estonia..
    Arian, Muhammad Balal
    Univ Karachi, Dept Chem, Sindh 75270, Pakistan..
    Michalski, Greg
    Purdue Univ, Dept Chem, W Lafayette, IN 47907 USA..
    Zeeshan, Sayed
    AWKUM, Dept Chem, Khyber Pakhtunkhwa 23200, Pakistan..
    ul Haq, Hameed
    AWKUM, Dept Chem, Khyber Pakhtunkhwa 23200, Pakistan..
    Ikram, Muhammad
    AWKUM, Dept Chem, Khyber Pakhtunkhwa 23200, Pakistan..
    Khan, Abbas
    AWKUM, Dept Chem, Khyber Pakhtunkhwa 23200, Pakistan..
    Subhan, Fazle
    AWKUM, Dept Chem, Khyber Pakhtunkhwa 23200, Pakistan..
    Jani, Yahya
    Malmö universitet, Institutionen för Urbana Studier (US), Sweden.
    Vincevica-Gaile, Zane
    Univ Latvia, Dept Environm Sci, LV-1004 Riga, Latvia..
    Zahoor, Muhammad
    Univ Malakand, Dept Biochem, Chakdara 18800, Pakistan..
    Khan, Idrees
    Bacha Khan Univ, Dept Chem, Khyber Palchtankhwa 24420, Pakistan..
    Shah, Muhammad Ishaq Ali
    AWKUM, Dept Chem, Khyber Pakhtunkhwa 23200, Pakistan..
    Multivariate statistical analysis of heavy metals and physico-chemical parameters in the groundwater of Karak District, Khyber Pakhtunkhwa, Pakistan2021In: Proceedings of the Estonian Academy of Sciences, ISSN 1736-6046, E-ISSN 1736-7530, Vol. 70, no 3, p. 297-306Article in journal (Refereed)
    Abstract [en]

    Groundwater heavy metal pollution is a major concern all around the world. For the assessment of heavy metals and physico-chemical characteristics. groundwater samples were collected from different locations of the Karak District, Pakistan. With the help of the global information system device (GIS), groundwater samples were collected and studied from 47 locations. The present study focused on the water table (WT), water source depth (WSD), pH, electrical conductivity (EC), dissolved oxygen (DO), total dissolved solids (TDS), lead (Pb(II)), silver (Ag(I)), iron (Fe(II)) and chromium (Cr(VI)) parameters. Heavy metals were analyzed by the Atomic Absorption Spectrophotometer (AAS). The Pearson's matrix of correlation showed relationships between several parameters, such as the EC and the TDS which had close interactions between all the three different groundwater samples (collected by hand pump (HP), bore holes (BH) and tube wells (TW)). The strong correlation was detected in all the sources of water between the TDS and the EC, the regression coefficient (r) of which was 1. In the hierarchical clustering (by dendrograms) the HP samples show two clusters: Cluster 1 contains seven parameters and Cluster 2 has four parameters. The BH samples have two clusters: Cluster 1 contains three parameters and Cluster 2 has eight parameters. The TW dendrogram also shows two clusters: Cluster 1 contains six parameters while Cluster 2 has five parameters.

  • 5.
    Silvestrov, Sergei
    et al.
    Mälardalen University, School of Education, Culture and Communication.
    Osaka, Hiroyuki
    Ritsumeikan University, Kusatsu, Japan .
    Tomiyama, Jun
    Tokyo Metropolitan University, Japan .
    Operator convex functions over C*-algebras2010In: Proceedings of the Estonian Academy of Sciences, ISSN 1736-6046, E-ISSN 1736-7530, Vol. 59, no 1, p. 48-52Article in journal (Refereed)
    Abstract [en]

    In this short note we give an exact characterization of C*-algebras that have the class of convex functions. More precisely, we give a convexity characterization of subhomogeneous C*-algebras. We use these results to generalize the single function based convexity conditions for commutativity of a C*-algebra to the single function based convexity conditions for subhomogeneity.

  • 6.
    Silvestrov, Sergei
    et al.
    Mälardalen University, School of Education, Culture and Communication.
    Persson, Lars-Erik
    Peetre, Jaak
    Cwikel, Michael
    Preface [Special issue on interpolation, inequalities, invariants, operators, and related topics]2010In: Proceedings of the Estonian Academy of Sciences, ISSN 1736-6046, E-ISSN 1736-7530, Vol. 59, no 1, p. 1-2Article in journal (Refereed)
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