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Monday, July 27, 2020 | History

6 edition of Banach spaces of analytic functions. found in the catalog.

Banach spaces of analytic functions.

Kenneth Hoffman

# Banach spaces of analytic functions.

## by Kenneth Hoffman

• 121 Want to read
• 18 Currently reading

Published by Prentice-Hall in Englewood Cliffs .
Written in English

Subjects:
• Functional analysis,
• Banach spaces

• Edition Notes

Includes bibliography.

Classifications The Physical Object Series Prentice-Hall series in modern analysis LC Classifications QA320 .H6 Pagination 217 p. Number of Pages 217 Open Library OL5852051M LC Control Number 62012452

Analytic Banach Space Valued Functions Let B be a Banach space and D be an open subset of C. Deﬁnition 1 (Analytic) Let f: D → B. (a) f is analytic at z0 ∈ D if f′(z 0) = lim z→z0 f(z)− 0 z−z0 exists (in the norm on B). Motivated by an old paper of Wells [J. London Math. Soc. {\bf 2} (), ] we define the space $X\otimes Y$, where $X$ and $Y$ are "homogeneous" Banach spaces.

Banach spaces of analytic functions and absolutely summing operators. [Aleksander Pełczyński; Conference Board of the Mathematical Sciences.] Print book: EnglishView all editions and formats: Summary: Surveys results concerning bases and various approximation properties in the classical spaces of analytical functions. This book contains.   The remainder of the book addresses the structure of various Banach spaces and Banach algebras of analytic functions in the unit disc. Enhanced with challenging exercises, a bibliography, and an index, this text belongs in the libraries of students, professional mathematicians, as well as anyone interested in a rigorous, high-level Brand: Dover Publications.

The book will also be an invaluable reference volume for researchers in analysis. Volume 1 covers the basics of Banach space theory, operatory theory in Banach spaces, harmonic analysis and probability. The authors also provide an annex devoted to compact Abelian groups. Composition operators between weighted Banach spaces of analytic functions. Journal of the Australian Mathematical Society. Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics, Vol. 64, Issue. 1, p.

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### Banach spaces of analytic functions by Kenneth Hoffman Download PDF EPUB FB2

Close in spirit to abstract harmonic analysis, it is confined to Banach spaces of analytic functions in the unit disc. The author devotes the first four chapters to proofs of classical theorems on boundary values and boundary integral representations of analytic functions in the unit disc, including generalizations Banach spaces of analytic functions.

book Dirichlet by:   Banach Spaces of Analytic Functions (Dover Books on Mathematics) - Kindle edition by Hoffman, Kenneth. Download it once and read it on your Kindle device, PC, phones or tablets. Use features like bookmarks, note taking and highlighting while reading Banach Spaces of Analytic Functions (Dover Books on Mathematics)/5(9).

Banach Spaces of Analytic Functions. Proceedings of the Pelzczynski Conference Held at Kent State University, JulyEditors: Baker, J., Cleaver, C. Banach Spaces of Analytic Functions Proceedings of the Pelczynski Conference Held at Kent State University, July 12–16, Search within book.

Front Matter. Pages I-V. PDF. An extension of the Riesz-Thorin theorem. Bennett. Remarks on F-spaces of analytic functions. Joel H. Shapiro. Pages Extremely smooth Banach spaces. Additional Physical Format: Online version: Hoffman, Kenneth. Banach spaces of analytic functions.

Englewood Cliffs, Prentice-Hall, (OCoLC) Banach spaces of analytic functions. Hibschweiler R., MacGregor T. (eds.) A note on the life of Alec Matheson and some of his work / Joseph A. Cima -- On the inverse of an analytic mapping / Joseph A. Cima -- Isometric composition operators on the Bloch space in th polydisc / Joel Cohen and Flacia Colonna -- Pluripolarity of manifolds / Oleg Eroshkin -- On a question of Brezis and Korevaar.

Description: A classic of pure mathematics, this advanced graduate-level text explores the intersection of functional analysis and analytic function theory.

Close in spirit to abstract harmonic analysis, it is confined to Banach spaces of analytic functions in the unit disc. An illustration of an open book. Books. An illustration of two cells of a film strip.

Video. An illustration of an audio speaker. Audio. An illustration of a " floppy disk. Software. An illustration of two photographs. Banach Spaces Of Analytic Functions Item Preview remove-circle.

Banach Spaces of analytic functions (MAGIC ) Banach Spaces of analytic functions (MAGIC ) Jonathan R. Partington University of Leeds, School of Mathematics [email protected] Ma 1. LECTURE 1 Books: K. Ho man, Banach spaces of analytic functions.

Koosis, Introduction to H. pspaces. Books: K. Hoﬀman, Banach spaces of analytic functions. Koosis, Introduction to Hp spaces. Rudin, Real and complex analysis. Nikolski, Operators, functions and systems, an easy reading, Vol. Introduction We are going to work with Banach and Hilbert spaces whose elements are func-tions.

Examples (treated informally for the. This classic of pure mathematics offers a rigorous investigation of Hardy spaces and the invariant subspace problem. Its highly readable treatment of complex functions, harmonic analysis, and functional analysis is suitable for advanced undergraduates and graduate students.

The text features challenging exercises. edition/5(7). Banach spaces of analytic functions. [Kenneth Hoffman] Home. WorldCat Home About WorldCat Help. Search. Search for Library Items Search for Lists Search for Book: All Authors / Contributors: Kenneth Hoffman.

Find more information about: OCLC Number: Description: pages. This is an astonishingly good book on analytic function theory in the disc.

It gives a comprehensive overview of Hardy spaces, solves the invariant subspace problem for the unilateral shift, and gives the ideal theory of the disc algebra and H^\infty/5(9). This volume is focused on Banach spaces of functions analytic in the open unit disc, such as the classical Hardy and Bergman spaces, and weighted versions of these spaces.

Other spaces under consideration here include the Bloch space, the families of Cauchy transforms and fractional Cauchy transforms, BMO, VMO, and the Fock space.

Verified Purchase This is an astonishingly good book on analytic function theory in the disc. It gives a comprehensive overview of Hardy spaces, solves the invariant subspace problem for the unilateral shift, and gives the ideal theory of the disc algebra and H^\s: 6.

Buy Banach spaces of analytic functions on FREE SHIPPING on qualified orders Banach spaces of analytic functions: Kenneth Hoffman: : Books Skip to main content/5(7). Banach spaces of analytic functions.

[Kenneth Hoffman] Home. WorldCat Home About WorldCat Help. Search. Search for Library Items Search for Lists Search for Book: All Authors / Contributors: Kenneth Hoffman. Find more information about: ISBN: X OCLC.

This classic of pure mathematics offers a rigorous investigation of Hardy spaces and the invariant subspace problem. Its highly readable treatment of complex functions, harmonic analysis, and functional analysis. the book is a cornerstone of any serious inquiry in Hardy spaces and the invariant subspace problem; it is also hightly readable and well written.

people interested in a second course on complex functions, harmonic analysis and functional analysis (banach and hilbert spaces) should have a look at it; it deserves it and the reader will be richly rewarded /5(7).

Discover the best Banach Space books and audiobooks. Learn from Banach Space experts like Konrad Jacobs and Kenneth Hoffman. Read Banach Space books like Measure and Integral and Banach Spaces of Analytic Functions with a free trial.

In book: Problems and Recent Methods in Operator Theory, pp Cite this publication. from a large class of Banach spaces of analytic functions contained in the Bloch.A complex-valued function on an open subset of a Banach space X is analytic if it is locally bounded and its restriction to every complex one-dimensional affine subspace of X is analytic.

In other words, f is analytic on D if f is locally bounded, and if for every x 0 ∈ D and direction x ∈ X, the function λ ↦ f (x 0 + λ x) depends analytically on λ.

The book is aimed at second-year graduate students and assumes they have already had some exposure to these subjects. The rest deals with various aspects of $$H^p$$ spaces, looking both at properties of member functions, and at the spaces as a whole as Banach spaces and as Banach .