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Bounded Linear Operators On Banach Sequence Spaces, Xiaopeng Gao
Bounded Linear Operators On Banach Sequence Spaces, Xiaopeng Gao
Digitized Theses
We investigate matrices and sequences of operators as bounded linear operators on Banach sequence spaces in various situations, and some topics related to these matrices and sequences. This thesis consists of five chapters.;In the first chapter we study whether an infinite matrix, particularly a summability matrix, is a bounded linear operator on {dollar}l\sb{lcub}p{rcub} (p \ge{dollar} 1). Some restrictive conditions for Norlund and weighted mean matrices to be in {dollar}B(l\sb{lcub}p{rcub}){dollar} imposed by earlier authors we eliminated. Some results for weighted mean matrices are proved as consequences of more general results for generalized Hausdorff matrices.;A necessary and sufficient condition for a non-negative …
Centralizer Of A Semisimple Element On A Reductive Algebraic Monoid, Marjoie Eileen Hull
Centralizer Of A Semisimple Element On A Reductive Algebraic Monoid, Marjoie Eileen Hull
Digitized Theses
Let M be a reductive linear algebraic monoid with unit group G and let the derived group of G be simply connected. The purpose of this thesis is to study the centralizer in M of a semisimple element of G. We call this set {dollar}M\sb0.{dollar};We use a combination of the theories of algebraic geometry, linear algebraic groups and linear algebraic monoids in our study. One of our main tools is Renner's analogue of the classical Bruhat decomposition for reductive algebraic monoids. Our principal result establishes an analogue of the Bruhat decomposition for {dollar}M\sb0.{dollar} This is a more general result than …
Intersections Of Hyperconics And Configurations In Classical Planes, James Michael Mcquillan
Intersections Of Hyperconics And Configurations In Classical Planes, James Michael Mcquillan
Digitized Theses
Let {dollar}\pi{dollar} = PG(2,F), where F is a field of characteristic 2 and of order greater than 2. Given a conic, its tangents all pass through a common point, the nucleus. A conic, together with its nucleus, is called a hyperconic. All conics considered are non-degenerate.;First, a relationship is established between hyperconics and certain symmetric unipotent Latin squares for all finite projective planes.;Intersection properties of hyperconics in PG(2,F), Fano configurations containing points of a hyperconic, as well as certain subplanes of PG(2,F) are studied. An open question in {dollar}\pi{dollar} = PG(2,q), q even, is: what is the size and structure …