Analytic Families of Self-Adjoint Compact Operators Which Commute with Their Derivative

Abdelaziz MAOUCHE

doi:https://doi.org/10.33434/cams.627282

Article Details

Analytic Families of Self-Adjoint Compact Operators Which Commute with Their Derivative

Authors:

Abdelaziz MAOUCHE

Publisher:

Emrah Evren KARA

Main Topics:

Mathematics

Journal:

Communications in Advanced Mathematical Sciences 2020 Vol.3 Issue 1, pp.9-12

Document Type:

Article

Publication Date:

3/2020

Document Language:

English

Document ID (Org No.):

2000911674

Frequency:

Quarterly

pISSN:

2651-4001

DOI:

https://doi.org/10.33434/cams.627282

Abstract:

 


Spectral properties of analytic families of compact operators on a Hilbert space are studied. The results obtained are then used to establish that an analytic family of self-adjoint compact operators on a Hilbert space H,H,\mathcal{H}, which commute with their derivative, must be functionally commutative.

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Article Details

Analytic Families of Self-Adjoint Compact Operators Which Commute with Their Derivative

Authors: Abdelaziz MAOUCHE

Publisher: Emrah Evren KARA

Main Topics: Mathematics

Journal: Communications in Advanced Mathematical Sciences 2020 Vol.3 Issue 1, pp.9-12

Document Type: Article

Publication Date: 3/2020

Document Language: English

Document ID (Org No.): 2000911674

Frequency: Quarterly

pISSN: 2651-4001

DOI: https://doi.org/10.33434/cams.627282

Issues

Authors:

Abdelaziz MAOUCHE

Publisher:

Emrah Evren KARA

Main Topics:

Mathematics

Journal:

Communications in Advanced Mathematical Sciences 2020 Vol.3 Issue 1, pp.9-12

Document Type:

Article

Publication Date:

3/2020

Document Language:

English

Document ID (Org No.):

2000911674

Frequency:

Quarterly

pISSN:

2651-4001

DOI:

https://doi.org/10.33434/cams.627282