Otto Toeplitz was a German mathematician working in functional analysis.
In mathematics, an invariant subspace of a linear mapping T : V → V i.e. from some vector space V to itself, is a subspace W of V that is preserved by T. More generally, an invariant subspace for a collection of linear mappings is a subspace preserved by each mapping individually.
Integral Equations and Operator Theory is a journal dedicated to operator theory and its applications to engineering and other mathematical sciences. As some approaches to the study of integral equations constitute a subfield of operator theory, the journal also deals with the theory of integral equations and hence of differential equations. The journal consists of two sections: a main section consisting of refereed papers and a second consisting of short announcements of important results, open problems, information, etc. It has been published monthly by Springer-Verlag since 1978. The journal is also available online by subscription.
Harry Dym was an Israeli-born American mathematician at the Weizmann Institute of Science, Israel. Dym's research interests included operator theory, interpolation theory, and inverse problems.
Vitali Davidovich Milman is a mathematician specializing in analysis. He is a professor at the Tel Aviv University. In the past he was a President of the Israel Mathematical Union and a member of the “Aliyah” committee of Tel Aviv University.
Vladimir Gilelevich Maz'ya is a Russian-born Swedish mathematician, hailed as "one of the most distinguished analysts of our time" and as "an outstanding mathematician of worldwide reputation", who strongly influenced the development of mathematical analysis and the theory of partial differential equations.
Israel Gohberg was a Bessarabian-born Soviet and Israeli mathematician, most known for his work in operator theory and functional analysis, in particular linear operators and integral equations.
In mathematics, hypercomplex analysis is the extension of complex analysis to the hypercomplex numbers. The first instance is functions of a quaternion variable, where the argument is a quaternion. A second instance involves functions of a motor variable where arguments are split-complex numbers.
Sergio Albeverio is a Swiss mathematician and mathematical physicist working in numerous fields of mathematics and its applications. In particular he is known for his work in probability theory, analysis, mathematical physics, and in the areas algebra, geometry, number theory, as well as in applications, from natural to social-economic sciences.
In mathematics, the Weyl–von Neumann theorem is a result in operator theory due to Hermann Weyl and John von Neumann. It states that, after the addition of a compact operator or Hilbert–Schmidt operator of arbitrarily small norm, a bounded self-adjoint operator or unitary operator on a Hilbert space is conjugate by a unitary operator to a diagonal operator. The results are subsumed in later generalizations for bounded normal operators due to David Berg and Dan-Virgil Voiculescu. The theorem and its generalizations were one of the starting points of operator K-homology, developed first by Lawrence G. Brown, Ronald Douglas and Peter Fillmore and, in greater generality, by Gennadi Kasparov.
In mathematics, the commutator subspace of a two-sided ideal of bounded linear operators on a separable Hilbert space is the linear subspace spanned by commutators of operators in the ideal with bounded operators. Modern characterisation of the commutator subspace is through the Calkin correspondence and it involves the invariance of the Calkin sequence space of an operator ideal to taking Cesàro means. This explicit spectral characterisation reduces problems and questions about commutators and traces on two-sided ideals to problems and conditions on sequence spaces.
Harm Bart is a Dutch mathematician, economist, and Professor of Mathematics at the Erasmus University Rotterdam, particularly known for his work on "factorization problems for matrix and operator functions."
Marinus Adriaan "Rien" Kaashoek is a Dutch mathematician, and Emeritus Professor Analysis and Operator Theory at the Vrije Universiteit in Amsterdam.
YuriiVladimirovich Egorov was a Russian-Soviet mathematician who specialized in differential equations.
The Hans Schneider Prize in Linear Algebra is awarded every three years by the International Linear Algebra Society. It recognizes research, contributions, and achievements at the highest level of linear algebra and was first awarded in 1993. It may be awarded for an outstanding scientific achievement or for lifetime contributions and may be awarded to more than one recipient. The award honors Hans Schneider, "one of the most influential mathematicians of the 20th Century in the field of linear algebra and matrix analysis.” The prize includes a plaque, certificate and/or a monetary award.
Mikhail Samuilovich Livsic was a Ukrainian-born Israeli mathematician who specialized in functional analysis.
Peter Lancaster is a British–Canadian mathematician. He is professor emeritus at the University of Calgary, where he has worked since 1962. His research focuses on matrix analysis and related fields, motivated by problems from vibration theory, numerical analysis, systems theory, and signal processing.
The International Linear Algebra Society (ILAS) is a professional mathematical society organized to promote research and education in linear algebra, matrix theory and matrix computation. It serves the international community through conferences, publications, prizes and lectures. Membership in ILAS is open to all mathematicians and scientists interested in furthering its aims and participating in its activities.
In functional analysis, the Grothendieck trace theorem is an extension of Lidskii's theorem about the trace and the determinant of a certain class of nuclear operators on Banach spaces, the so-called -nuclear operators. The theorem was proven in 1955 by Alexander Grothendieck. Lidskii's theorem does not hold in general for Banach spaces.
Paolo Emilio Ricci is an Italian mathematician, working on mathematical physics, orthogonal polynomials, special functions, numerical analysis, approximation theory and other related subjects mathematical analysis, theory of elliptic partial differential equations and special functions: he is also known for his work collaboration with Johan Gielis.
