Barry Johnson

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Allan M. Sinclair - One of the best experts on this subject based on the ideXlab platform.

  • Barry edward Johnson 1937 2002
    Bulletin of The London Mathematical Society, 2004
    Co-Authors: Allan M. Sinclair
    Abstract:

    Barry Johnson made major contributions to the theory of Banach algebras, by stimulating research on automatic continuity and cohomology in these algebras. His research on the continuous Hochschild cohomology of Banach and operator algebras led to major developments in these areas, and to a recognition of ‘amenability’ as more than simply a group-theoretic idea, but also one that is widely applicable in modern analysis.

  • Barry Edward Johnson 1937–2002
    Bulletin of the London Mathematical Society, 2004
    Co-Authors: Allan M. Sinclair
    Abstract:

    Barry Johnson made major contributions to the theory of Banach algebras, by stimulating research on automatic continuity and cohomology in these algebras. His research on the continuous Hochschild cohomology of Banach and operator algebras led to major developments in these areas, and to a recognition of ‘amenability’ as more than simply a group-theoretic idea, but also one that is widely applicable in modern analysis.

  • Barry edward Johnson 1 august 1937 5 may 2002
    Biographical Memoirs of Fellows of the Royal Society, 2003
    Co-Authors: Allan M. Sinclair
    Abstract:

    Barry Johnson made major contributions to the theory of Banach algebras, stimulating research on automatic continuity and cohomology in these algebras. His research on the continuous Hochschild cohomology of Banach and operator algebras led to major developments in these areas, and to ‘amenability’ moving from a group theoretic idea to one that is widely applicable in modern analysis.

  • Barry Edward Johnson. 1 August 1937 – 5 May 2002
    Biographical Memoirs of Fellows of the Royal Society, 2003
    Co-Authors: Allan M. Sinclair
    Abstract:

    Barry Johnson made major contributions to the theory of Banach algebras, stimulating research on automatic continuity and cohomology in these algebras. His research on the continuous Hochschild cohomology of Banach and operator algebras led to major developments in these areas, and to ‘amenability’ moving from a group theoretic idea to one that is widely applicable in modern analysis.

R B Johnston - One of the best experts on this subject based on the ideXlab platform.

Sundararajan - One of the best experts on this subject based on the ideXlab platform.

R. Barry Johnson - One of the best experts on this subject based on the ideXlab platform.

  • Lens Design Fundamentals Ed. 2
    2009
    Co-Authors: Rudolf Kingslake, R. Barry Johnson
    Abstract:

    Thoroughly revised and expanded to reflect the substantial changes in the field since its publication in 1978 Strong emphasis on how to effectively use software design packages, indispensable to today’s lens designer Many new lens design problems and examples – ranging from simple lenses to complex zoom lenses and mirror systems – give insight for both the newcomer and specialist in the field Rudolf Kingslake is regarded as the American father of lens design; his book, not revised since its publication in 1978, is viewed as a classic in the field. Naturally, the area has developed considerably since the book was published, the most obvious changes being the availability of powerful lens design software packages, theoretical advances, and new surface fabrication technologies. This book provides the skills and knowledge to move into the exciting world of contemporary lens design and develop practical lenses needed for the great variety of 21st-century applications. Continuing to focus on fundamental methods and procedures of lens design, this revision by R. Barry Johnson of a classic modernizes symbology and nomenclature, improves conceptual clarity, broadens the study of aberrations, enhances discussion of multi-mirror systems, adds tilted and decentered systems with eccentric pupils, explores use of aberrations in the optimization process, enlarges field flattener concepts, expands discussion of image analysis, includes many new exemplary examples to illustrate concepts, and much more. Optical engineers working in lens design will find this book an invaluable guide to lens design in traditional and emerging areas of application; it is also suited to advanced undergraduate or graduate course in lens design principles and as a self-learning tutorial and reference for the practitioner. Rudolf Kingslake (1903-2003) was a founding faculty member of the Institute of Optics at The University of Rochester (1929) and remained teaching until 1983. Concurrently, in 1937 he became head of the lens design department at Eastman Kodak until his retirement in 1969. Dr. Kingslake published numerous papers, books, and was awarded many patents. He was a Fellow of SPIE and OSA, and an OSA President (1947-48). He was awarded the Progress Medal from SMPTE (1978), the Frederic Ives Medal (1973), and the Gold Medal of SPIE (1980). R. Barry Johnson has been involved for over 40 years in lens design, optical systems design, and electro-optical systems engineering. He has been a faculty member at three academic institutions engaged in optics education and research, co-founder of the Center for Applied Optics at the University of Alabama in Huntsville, employed by a number of companies, and provided consulting services. Dr. Johnson is an SPIE Fellow and Life Member, OSA Fellow, and an SPIE President (1987). He published numerous papers and has been awarded many patents. Dr. Johnson was founder and Chairman of the SPIE Lens Design Working Group (1988-2002), is an active Program Committee member of the International Optical Design Conference, and perennial co-chair of the annual SPIE Current Developments in Lens Design and Optical Engineering Conference. Thoroughly revised and expanded to reflect the substantial changes in the field since its publication in 1978 Strong emphasis on how to effectively use software design packages, indispensable to today’s lens designer Many new lens design problems and examples – ranging from simple lenses to complex zoom lenses and mirror systems – give insight for both the newcomer and specialist in the field

Richard J. Loy - One of the best experts on this subject based on the ideXlab platform.

  • Approximate amenability of tensor products of Banach algebras
    Journal of Mathematical Analysis and Applications, 2017
    Co-Authors: F. Ghahramani, Richard J. Loy
    Abstract:

    Abstract Examples constructed by the first author and Charles Read make it clear that many of the hereditary properties of amenability no longer hold for approximate amenability. These and earlier results of the authors also show that the presence of a bounded approximate identity often entails positive results. Here we show that the tensor product of approximately amenable algebras need not be approximately amenable, and investigate conditions under which A and B being approximately amenable implies, or is implied by, A ⊗ ˆ B or A # ⊗ ˆ B # being approximately amenable. Once again, the role of having a bounded approximate identity comes to the fore. Our methods also enable us to prove that if A ⊗ ˆ B is amenable, then so are A and B , a result proved by Barry Johnson in 1996 under an additional assumption.