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Mathematics Colloquium
Thursdays from 3:30 - 4:20 p.m.
118 MacLean Hall (MLH)
Upcoming Events
Mathematics Faculty Colloquium - Raul Curto Cont.
Title: Conditional Positive Definiteness and Complete Monotonicity in Subnormal Operator Theory
Abstract: On a Hilbert space H, a subnormal operator S is the restriction, to an invariant subspace, of a normal operator N (i.e., N∗N = NN∗). Born in the 1950’s, subnormal operator theory has developed into one of the central areas of modern operator theory, sitting at the intersection of complex function theory and functional analysis. Powered by S. Brown’s 1978 discovery of nontrivial invariant...
Mathematics Colloquium - Thomas Sinclair; Purdue University
Mathematics Colloquium - Takao Komatsu; Henan Academy of Sciences and Institute of Science Tokyo
Mathematics Colloquium - Professor Takao Komatsu
Title: Fibonacci and related numbers in determinants
Abstract: There are many references to matrices or determinants that have Fibonacci numbers as elements. In this talk, we show several determinants expressing the Fibonacci and related polynomials. This method is well-applicable to other numbers or polynomials too. In addition, these results, based on the form of the Hessenberg matrix, allow for many applications such as inverse formulas, explicit expressions, and continued fraction...