00930nam a2200265 i 450099100251948970753620020508201621.0010704s1970 it ||| | ita b1102186x-39ule_instPARLA164145ExLDip.to Filosofiaita335.412Preobrazenskij, Evgenij Alekseevic118342Dalla NEP al socialismo /Eugene PreobrajenskyMilano :Jaca Book,1970158 p. ;17 cm.Transizioni socialiste e libertarie ;2Economia marxistaBarberini, Antonio.b1102186x23-02-1728-06-02991002519489707536LE005IF XXVII E 411LE005IFA-7430le005-E0.00-l- 00000.i1114142628-06-02Dalla NEP al socialismo861858UNISALENTOle00501-01-01ma -itait 0104236nam 22006135 450 991025428740332120200702053014.03-319-42813-610.1007/978-3-319-42813-0(CKB)3710000001079871(DE-He213)978-3-319-42813-0(MiAaPQ)EBC6310507(MiAaPQ)EBC5590916(Au-PeEL)EBL5590916(OCoLC)1066192027(PPN)198868839(EXLCZ)99371000000107987120170213d2017 u| 0engurnn#008mamaatxtrdacontentcrdamediacrrdacarrierPositive Operator Semigroups From Finite to Infinite Dimensions /by András Bátkai, Marjeta Kramar Fijavž, Abdelaziz Rhandi1st ed. 2017.Cham :Springer International Publishing :Imprint: Birkhäuser,2017.1 online resource (XVIII, 364 p.)Operator Theory: Advances and Applications,0255-0156 ;2573-319-42811-X Includes bibliographical references & index.1 An Invitation to Positive Matrices -- 2 Functional Calculus -- 3 Powers of Matrices -- 4 Matrix Exponential Function -- 5 Positive Matrices -- 6 Applications of Positive Matrices -- 7 Positive Matrix Semigroups and Applications -- 8 Positive Linear Systems -- 9 Banach Lattices -- 10 Positive Operators -- 11 Operator Semigroups -- 12 Generation Properties -- 13 Spectral Theory for Positive Semigroups I -- 14 Spectral Theory for Positive Semigroups II -- 15 An application to linear transport equations -- Appendices -- Index.This book gives a gentle but up-to-date introduction into the theory of operator semigroups (or linear dynamical systems), which can be used with great success to describe the dynamics of complicated phenomena arising in many applications. Positivity is a property which naturally appears in physical, chemical, biological or economic processes. It adds a beautiful and far reaching mathematical structure to the dynamical systems and operators describing these processes. In the first part, the finite dimensional theory in a coordinate-free way is developed, which is difficult to find in literature. This is a good opportunity to present the main ideas of the Perron-Frobenius theory in a way which can be used in the infinite dimensional situation. Applications to graph matrices, age structured population models and economic models are discussed. The infinite dimensional theory of positive operator semigroups with their spectral and asymptotic theory is developed in the second part. Recent applications illustrate the theory, like population equations, neutron transport theory, delay equations or flows in networks. Each chapter is accompanied by a large set of exercises. An up-to-date bibliography and a detailed subject index help the interested reader. The book is intended primarily for graduate and master students. The finite dimensional part, however, can be followed by an advanced bachelor with a solid knowledge of linear algebra and calculus.Operator Theory: Advances and Applications,0255-0156 ;257Operator theoryMatrix theoryAlgebraOperator Theoryhttps://scigraph.springernature.com/ontologies/product-market-codes/M12139Linear and Multilinear Algebras, Matrix Theoryhttps://scigraph.springernature.com/ontologies/product-market-codes/M11094Operator theory.Matrix theory.Algebra.Operator Theory.Linear and Multilinear Algebras, Matrix Theory.515.724Bátkai Andrásauthttp://id.loc.gov/vocabulary/relators/aut766764Kramar Fijavž Marjetaauthttp://id.loc.gov/vocabulary/relators/autRhandi Abdelazizauthttp://id.loc.gov/vocabulary/relators/autMiAaPQMiAaPQMiAaPQBOOK9910254287403321Positive Operator Semigroups1974900UNINA