A+ CATEGORY SCIENTIFIC UNIT

PDF files of articles are only available for institutions which have paid for the online version upon signing an Institutional User License.

Strong ball proximinality of the space of compact operators

Volume 268 / 2023

C. R. Jayanarayanan, Sreejith Siju Studia Mathematica 268 (2023), 51-64 MSC: Primary 46B20; Secondary 41A65, 46B28, 47B07. DOI: 10.4064/sm211009-29-5 Published online: 20 July 2022

Abstract

We prove that the closed unit ball of the space of compact operators on a Hilbert space is strongly proximinal in the corresponding space of all bounded operators under an additional assumption. We also give a sufficient condition for an $M$-summand to be strongly ball proximinal. In addition, we prove that the space of bounded operators on a Hilbert space is strongly ball proximinal in itself under an additional assumption.

Authors

  • C. R. JayanarayananDepartment of Mathematics
    Indian Institute of Technology Palakkad
    Palakkad, 678557, India
    e-mail
  • Sreejith SijuDepartment of Mathematics
    Indian Institute of Technology Palakkad
    Palakkad, 678557, India
    e-mail

Search for IMPAN publications

Query phrase too short. Type at least 4 characters.

Rewrite code from the image

Reload image

Reload image