A note on the parallel sum

Frank Hansen

doi:10.1016/j.laa.2021.11.013

A note on the parallel sum

Frank Hansen

Department of Mathematical Sciences

Research output: Contribution to journal › Journal article › Research › peer-review

7 Citations (Scopus)

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Abstract

By using a variational principle we find a necessary and sufficient condition for an operator to majorise the parallel sum of two positive definite operators. This result is then used as a vehicle to create new operator inequalities involving the parallel sum.

Original language	English
Journal	Linear Algebra and Its Applications
Volume	636
Pages (from-to)	69-76
ISSN	0024-3795
DOIs	https://doi.org/10.1016/j.laa.2021.11.013
Publication status	Published - 2022

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Cite this

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title = "A note on the parallel sum",

abstract = "By using a variational principle we find a necessary and sufficient condition for an operator to majorise the parallel sum of two positive definite operators. This result is then used as a vehicle to create new operator inequalities involving the parallel sum.",

author = "Frank Hansen",

year = "2022",

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language = "English",

volume = "636",

pages = "69--76",

journal = "Linear Algebra and Its Applications",

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N2 - By using a variational principle we find a necessary and sufficient condition for an operator to majorise the parallel sum of two positive definite operators. This result is then used as a vehicle to create new operator inequalities involving the parallel sum.

AB - By using a variational principle we find a necessary and sufficient condition for an operator to majorise the parallel sum of two positive definite operators. This result is then used as a vehicle to create new operator inequalities involving the parallel sum.

U2 - 10.1016/j.laa.2021.11.013

DO - 10.1016/j.laa.2021.11.013

M3 - Journal article

SN - 0024-3795

VL - 636

SP - 69

EP - 76

JO - Linear Algebra and Its Applications

JF - Linear Algebra and Its Applications

ER -