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Matrix Valued Truncated Toeplitz Operators

Thesis Info

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Author

Khan, Rewayat.

Program

PhD

Institute

Government College University

City

Lahore

Province

Punjab

Country

Pakistan

Thesis Completing Year

2018

Thesis Completion Status

Completed

Subject

Mathemaics

Language

English

Link

http://prr.hec.gov.pk/jspui/bitstream/123456789/9421/1/Rewayat_Khan_Maths_2018_GCU_lahore_PRR.pdf

Added

2021-02-17 19:49:13

Modified

2024-03-24 20:25:49

ARI ID

1676726622571

Similar


This thesis contains results about the matrix valued truncated Toeplitz operators (MTTO''s) de ned on the model space K= H2 H2(E), with axed pure inner function and E an arbitrary Hilbert space. The class of MTTO''s is denoted by T (K ). In the main work of this thesis we shall concern with the extension of some of the results obtained in the scalar case by D. Sarason in [27]. After gathering together the mathematical preliminaries of this work in Chapter 1, in Chapter 2 we shall present the most important properties of the model spaces Kand some very important operators Sand S in T (K ). The main object of this thesis is the study of the matrix generalization of the truncated Toeplitz operators introduced in [27]; a more recent presentation is [17]. This will be the content of Chapter 3, 4, 5. Finally, in Chapter 6 the preceding theory is applied to initiate the study ofnite rank operators in T (K ).
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