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pro vyhledávání: '"Weiss, Gary"'
The notion of automatic selfadjointness of all ideals in a multiplicative semigroup of the bounded linear operators on a separable Hilbert space B(H) arose in a 2015 discussion with Heydar Radjavi who pointed out that B(H) and the finite rank operato
Externí odkaz:
http://arxiv.org/abs/2304.12997
This extends our new study of the automatic selfadjoint ideal property for B(H)-operator semigroups introduced to us by Heydar Radjavi (SI semigroups for short). Our investigation here of singly generated SI semigroups led to unexpected algebraic and
Externí odkaz:
http://arxiv.org/abs/2304.12978
We offer a new perspective and some advances on the 1971 Pearcy--Topping problem: Is every compact operator a commutator of compact operators? Our goal is to analyze and generalize the 1970's work in this area of Joel Anderson combined with the work
Externí odkaz:
http://arxiv.org/abs/2203.11995
Understanding course enrollment patterns is valuable to predict upcoming demands for future courses, and to provide student with realistic courses to pursue given their current backgrounds. This study uses undergraduate student enrollment data to for
Externí odkaz:
http://arxiv.org/abs/2104.14500
Autor:
Loreaux, Jireh, Weiss, Gary
We investigate the relationship between ideal membership of an operator and its pieces relative to several canonical types of partitions of the entries of its matrix representation with respect to a given orthonormal basis. Our main theorems establis
Externí odkaz:
http://arxiv.org/abs/2103.09215
This book contains the proceedings of the 2018 International Conference on Data Science (ICDATA'18).ICDATA is the renamed former International Conference on Data Mining, DMIN, which was held for the past thirteen years. Therefore, we will continue wi
Autor:
Loreaux, Jireh, Weiss, Gary
Publikováno v:
operatortheory27: Conference Proceedings, Timi\c{s}oara, July 2--6, 2018, pp. 193--214
We provide a survey of the current state of the study of diagonals of operators, especially selfadjoint operators. In addition, we provide a few new results made possible by recent work of M\"uller-Tomilov and Kaftal-Loreaux. This is an expansion of
Externí odkaz:
http://arxiv.org/abs/1905.09987
For H a separable infinite dimensional complex Hilbert space, we prove that every B(H) operator has a basis with respect to which its matrix representation has a universal block tridiagonal form with block sizes given by a simple exponential formula
Externí odkaz:
http://arxiv.org/abs/1905.00823
This volume contains the proceedings of the 2017 International Conference on Data Mining (DMIN'17).