1.

Record Nr.

UNINA9910788745603321

Autore

Gallardo-Gutiérrez Eva A. <1973->

Titolo

The role of the spectrum in the cyclic behavior of composition operators / / Eva A. Gallardo-Gutiérrez, Alfonso Montes-Rodríguez

Pubbl/distr/stampa

Providence, Rhode Island : , : American Mathematical Society, , [2004]

©2004

ISBN

1-4704-0389-7

Descrizione fisica

1 online resource (98 p.)

Collana

Memoirs of the American Mathematical Society, , 0065-9266 ; ; number 791

Disciplina

510 s

515/.7246

Soggetti

Function spaces

Linear operators

Functions of complex variables

Hypergeometric functions

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

"Volume 167, number 791 (first of 5 numbers)."

Nota di bibliografia

Includes bibliographical references (pages 79-81).

Nota di contenuto

""Contents""; ""Preface""; ""Chapter 1. Introduction and Preliminaries""; ""Weighted Hardy spaces""; ""The Dirichlet space""; ""The Hardy space""; ""Functional Hilbert spaces""; ""Composition operators""; ""Weighted Dirichlet spaces""; ""Equivalent norms on weighted Dirichlet spaces""; ""Linear fractional maps""; ""Iterates""; ""The Comparison Principle""; ""Main results""; ""Table I""; ""Table II""; ""Acknowledgment""; ""Chapter 2. Linear Fractional Maps with an Interior Fixed Point""; ""Non-elliptic linear fractional maps with an exterior fixed point""; ""Elliptic automorphism""

""Interior and boundary fixed point""""Hypercyclicity""; ""The hyperbolic automorphism""; ""The Hypercyclic Criterion""; ""A Beurling type theorem""; ""The Inner Product Criterion""; ""Invariant subspaces of finite codimension""; ""Chapter 3. Non Elliptic Automorphisms""; ""Hypercyclicity""; ""The parabolic automorphism""; ""The hyperbolic automorphism""; ""The failure of the spectrum""; ""The eigenfunctions of C[sub([omitted])] [sub([omitted])] with  a parabolic automorphism""; ""Cyclicity""; ""The Dirichlet space of the upper half plane""; ""The Hardy



space of the upper half plane""

""A Paley-Wiener Theorem for D[sub(Ï€)]""""The parabolic automorphism""; ""The hyperbolic automorphism""; ""Chapter 4. The Parabolic Non Automorphism""; ""Cyclicity""; ""Zeros of weighted Dirichlet functions""; ""Non hypercyclicity""; ""An appetizer""; ""The spectrum of C[sub([omitted])]""; ""The eigenfunctions form a spanning set""; ""Renorming S[sub(v)]""; ""Isometric functional Hilbert spaces""; ""A complete orthogonal system of L[sup(2)] (R[sup(+)],dt/t)""; ""The extension of the isometries""; ""The Laguerre polynomials""; ""Chapter 5. Supercyclic Linear Fractional Composition Operators""

""The easy part""""The parabolic non-automorphism""; ""The Angle Criterion""; ""The adjoint of C[sub([omitted])]""; ""A three term recurrence formula""; ""An integration formula""; ""Endnotes""; ""Bibliography""

2.

Record Nr.

UNINA9910799480803321

Autore

Villanueva Juliet Aleta Rivera

Titolo

Autoethnographic Reflections on a Research Journey : Dual Perspectives from a Doctoral Student and a Researcher Development Specialist / / by Juliet Aleta Rivera Villanueva, Douglas Charles Forbes Eacersall

Pubbl/distr/stampa

Singapore : , : Springer Nature Singapore : , : Imprint : Springer, , 2023

ISBN

9789819949298

9819949297

Edizione

[1st ed. 2023.]

Descrizione fisica

1 online resource (112 pages)

Collana

SpringerBriefs in Education, , 2211-193X

Altri autori (Persone)

EacersallDouglas Charles Forbes

Disciplina

370.72

Soggetti

Education, Higher

Adult education

Continuing education

Teachers - Training of

Higher Education

Adult Education

Lifelong Learning

Teaching and Teacher Education

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia



Nota di contenuto

PART I: Research Journey v.1.0 -- Chapter 1 Battlefield 1.0 Research as a Personal, Selfish Act -- Chapter 2 Battlefield 2.0 Research as Reflective Act The Bitter and the Sweet -- Chapter 3 Barriers Enablers Research as Rite of Passage -- PART II: Research Journey 2.0 Ingress to Egress -- Chapter 4 Navigating Learning Spaces Maximizing Student Support Research as a Collaborative Act -- Chapter 5 Seesaws and Disenchantments -- Cycle of Pain -- Chapter 6 Self-regulation and Co-regulation Mentoring and Self-direction Research as an Empowering Act -- Epilogue When the Research Degree Changes You. .

Sommario/riassunto

This book assists research students, supervisors, practitioners, and associated others to successfully navigate their research journey by highlighting research student experiences leading to student success. It reveals the research journey through an auto-ethnographic study based on the research student’s narratives accompanied by digital artifacts. It also includes commentary from the perspective of a researcher development specialist who assisted this researcher throughout this journey. This book provides insights into research journeys through layered accounts and meanings, which include the first author’s life events spanning almost two decades alongside higher education pursuits. It presents the perspective of a K-12 teacher-researcher moving into higher education in her local university, who is a Southeast Asian female international student embarking on her second-chance degree in a predominantly Australian learning environment/culture. Accompanying this is the perspective of a research training and development professional who has also undertaken higher degree by research studies.