Aicke Hinrichs, Joscha Prochno, Jan Vybíral,
"Gelfand numbers of embeddings of schatten classes"
, in Mathematische Annalen, Vol. 380, Nummer 3-4, Seite(n) 1563?1593, 2021, ISSN: 0025-5831
Original Titel:
Gelfand numbers of embeddings of schatten classes
Sprache des Titels:
Englisch
Original Kurzfassung:
Let 0<p,q?? and denote by SNp and SNq the corresponding Schatten classes of real N×N matrices. We study the Gelfand numbers of natural identities SNp?SNq between Schatten classes and prove asymptotically sharp bounds up to constants only depending on p and q. This extends classical results for finite-dimensional ?p sequence spaces by E. Gluskin to the non-commutative setting and complements bounds previously obtained by B. Carl and A. Defant, A. Hinrichs and C. Michels, and J. Chávez-Domínguez and D. Kutzarova.