سیویلیکا را در شبکه های اجتماعی دنبال نمایید.

Login
PapersConferencesJournals

Douglas' Factorization Theorem and Atomic System in Hilbert Pro-C^{\ast}-Modules

Publish place: Sahand Communications in Mathematical Analysis، Vol: 21، Issue: 2
Publish Year: 1403
Type: Journal paper
Language: English
View: 104

This Paper With 26 Page And PDF Format Ready To Download

DOWNLOAD Paper

Export:

Link to this Paper:
https://civilica.com/doc/1950129

Document National Code:

JR_SCMA-21-2_002

Index date: 8 April 2024

Douglas' Factorization Theorem and Atomic System in Hilbert Pro-C^{\ast}-Modules abstract

In the present paper, we introduce  the generalized inverse operators, which have an exciting role in operator theory. We establish Douglas' factorization theorem type  for  the Hilbert pro-C^{\ast}-module.We introduce the notion of atomic system and K-frame in the Hilbert pro-C^{\ast}-module and study their relationship. We also demonstrate some properties of the K-frame by using Douglas' factorization theorem.Finally  we demonstrate that the sum of two K-frames in a Hilbert pro-C^{\ast}-module with certain conditions is once again a K-frame.

Douglas' Factorization Theorem and Atomic System in Hilbert Pro-C^{\ast}-Modules Keywords:

Douglas majorization , Atomic system , Hilbert pro-C^{\ast}-modules

Douglas' Factorization Theorem and Atomic System in Hilbert Pro-C^{\ast}-Modules authors

Mohamed Rossafi

LaSMA Laboratory Department of Mathematics Faculty of Sciences, Dhar El Mahraz University Sidi Mohamed Ben Abdellah, Fez, Morocco.

Roumaissae Eljazzar

Laboratory of Partial Differential Equations, Spectral Algebra and Geometry, Department of Mathematics, Faculty Of Sciences, University of Ibn Tofail, Kenitra, Morocco.

Ram Mohapatra

Department of Mathematics, University of Central Florida, Orlando, FL., ۳۲۸۱۶, USA.

مراجع و منابع این Paper:

لیست زیر مراجع و منابع استفاده شده در این Paper را نمایش می دهد. این مراجع به صورت کاملا ماشینی و بر اساس هوش مصنوعی استخراج شده اند و لذا ممکن است دارای اشکالاتی باشند که به مرور زمان دقت استخراج این محتوا افزایش می یابد. مراجعی که مقالات مربوط به آنها در سیویلیکا نمایه شده و پیدا شده اند، به خود Paper لینک شده اند :
M. Azhini and N. Haddadzadeh, Fusion frames in Hilbert modules ...
R.G. Douglas, On majorization, factorization and range inclusion of operators ...
R.J. Duffin and A.C. Schaeffer, Trans. Amer. Math. Soc., ۷۲ ...
X. Fang, M.S. Moslehian and Q. Xu, On majorization and ...
X. Fang, J. Yu and H. Yao, Solutions to operator ...
M. Fragoulopoulou, An introduction to the representation theory of topological ...
M. Fragoulopoulou, Tensor products of enveloping locally C^{*}- algebras, Schriftenreihe, ...
D. Gabor, Theory of communications, Journal of the Institution of ...
L. Găvruţa, Frames for operators, Appl. Comput. Harmon. Anal., ۳۲.۱ ...
A. Inoue, Locally C^{*}-algebra, Memoirs of the Faculty of Science, ...
M. Joita, Hilbert modules over locally C*-algebras, Editura Universităţii din ...
M. Joita, On frames in Hilbert modules over pro-C^{*}-algebras, Topol. ...
E.C. Lance, Hilbert C^{*}-modules, London Math. Soc, ۲۱۰. Univ. Press, ...
A. Mallios, Topological algebras: Selected Topics, North Holland, Elsevier, ۲۰۱۱ ...
N.C. Phillips, Inverse limits of C*-algebras, J. Operator Theory, ۱۹ ...
N.C. Phillips, Representable K-theory for \sigma -C^{\ast}-algebras, K-Theory, ۳ (۱۹۸۹), ...
Yu. I. Zhuraev and F. Sharipov, Hilbert modules over locally ...
نمایش کامل مراجع