On the Möbius invariant principal functions of Pincus

• Autorzy: Ghosh Sagar , Misra Gadadhar

Identyfikatory

DOI

10.7494/OpMath.2024.44.3.391

• Języki publikacji: EN

Abstrakty

EN

In this semi-expository short note, we prove that the only homogeneous pure hyponormal operator T with rank (T∗T − TT∗) = 1, modulo unitary equivalence, is the unilateral shift.

Słowa kluczowe

EN

hyponormal operators; multiplicity; trace formula; homogeneous operators; principal function

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2024
• Tom: Vol. 44, no. 3
• Strony: 391--407
• Opis fizyczny: Bibliogr. 24 poz.

Twórcy

autor

Ghosh Sagar

• Indian Statistical Institute, Theoretical Statistics and Mathematics Unit, Banaglore 560 059, India

autor

Misra Gadadhar

• Indian Statistical Institute, Theoretical Statistics and Mathematics Unit, Banaglore 560 059, India
• Indian Institute of Technology Gandhinagar, Palaj, Gujarat 382 055, India

• https://orcid.org/0000-0001-8096-2039

Bibliografia

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Uwagi

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