Zobrazeno 1 - 10
of 65
pro vyhledávání: '"Patnaik, Sasmita"'
On Simultaneous Triangularization of Matrices and Quasinilpotency of Commutator of Compact Operators
Autor:
Patnaik, Sasmita, Sethi, Rahul
In this paper we determine a sufficient condition for the quasinilpotency of a commutator of compact operators via block-tridiagonal matrix form associated with a compact operator. We also prove that every compact operator is unitarily equivalent to
Externí odkaz:
http://arxiv.org/abs/2401.16916
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
Autor:
Patnaik, Sasmita
Publikováno v:
Journal of Mathematical Analysis and Applications (2022)
We investigate an algebraic variant of the Wojty\'nski problem on the simplicity of Lie algebras of compact operators on a separable infinite-dimensional complex Hilbert space. We prove the non-simplicity of Lie algebras of compact operators under a
Externí odkaz:
http://arxiv.org/abs/2110.01569
Autor:
Loreaux, Jireh, Patnaik, Sasmita
For a positive trace-class operator $C$ and a bounded operator $A$, we provide an explicit description of the closure of the orbit-closed $C$-numerical range of $A$ in terms of those operators submajorized by $C$ and the essential numerical range of
Externí odkaz:
http://arxiv.org/abs/2106.11205
Autor:
Loreaux, Jireh, Patnaik, Sasmita
Publikováno v:
Linear and Multilinear Algebra, 2021
We introduce and investigate the orbit-closed $C$-numerical range, a natural modification of the $C$-numerical range of an operator introduced for $C$ trace-class by Dirr and vom Ende. Our orbit-closed $C$-numerical range is a conservative modificati
Externí odkaz:
http://arxiv.org/abs/2009.01300
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
Autor:
Patnaik, Sasmita, Weiss, Gary
This paper investigates a question of Radjavi: Which multiplicative semigroups in B(H) have all their ideals selfadjoint (called herein selfadjoint-ideal (SI) semigroups)? We proved this property is a unitary invariant for B(H)-semigroups, which inva
Externí odkaz:
http://arxiv.org/abs/1806.01272
Autor:
Gould, Carlos F., Jha, Shaily, Patnaik, Sasmita, Agrawal, Shalu, Zhang, Alice Tianbo, Saluja, Sonakshi, Nandan, Vagisha, Mani, Sunil, Urpelainen, Johannes
Publikováno v:
In World Development November 2022 159
