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The classical $\ell^{p}$ sequence spaces have been a mainstay in
Banach spaces. This book reviews some of the foundational results
in this area (the basic inequalities, duality, convexity, geometry)
as well as connects them to the function theory (boundary growth
conditions, zero sets, extremal functions, multipliers, operator
theory) of the associated spaces $\ell^{p}_{A}$ of analytic
functions whose Taylor coefficients belong to $\ell^p$. Relations
between the Banach space $\ell^p$ and its associated function space
are uncovered using tools from Banach space geometry, including
Birkhoff-James orthogonality and the resulting Pythagorean
inequalities. The authors survey the literature on all of this
material, including a discussion of the multipliers of
$\ell^{p}_{A}$ and a discussion of the Wiener algebra
$\ell^{1}_{A}$. Except for some basic measure theory, functional
analysis, and complex analysis, which the reader is expected to
know, the material in this book is self-contained and detailed
proofs of nearly all the results are given. Each chapter concludes
with some end notes that give proper references, historical
background, and avenues for further exploration.
Environmental concerns and advances in architectural technologies
have lead to a greater number of green buildings or buildings with
green, eco-friendly elements. However, from a practical standpoint,
there is no incident reporting system in the world that tracks data
on fire incidents in green buildings. Fire safety objectives are
not explicitly considered in most green rating schemes, and green
design features have been associated with photovoltaic panels and
roof materials, lightweight timber frame buildings, and combustible
insulation materials. Fire Safety Challenges of Green Buildings is
the result of an extensive global literature review that sought to
identify issues related to green building elements or features and
ways to ensure those issues are tracked for future improvement. The
book identifies actual incidents of fires in green buildings or
involving green building elements, points out issues with green
building elements that would increase fire risk, clarifies reports
and studies that address ways to reduce fire risk in green design
elements, and compares research studies that explicitly incorporate
fire safety into green building design. The authors also pinpoint
gaps and specific research needs associated with understanding and
addressing fire risk and hazards with green building design. Using
their data, the authors developed a set of matrices relating these
green attributes and potential fire hazards. With these
comprehensive tools, potential mitigation strategies for addressing
the relative increase in fire risk or hazard associated with the
green building elements and features have been identified. Fire
Safety Challenges of Green Buildings is intended for practitioners
as a tool for analyzing building safety issues in green
architecture and developing methods for tracking data related to
green design elements and their potential hazards. Researchers
working in a related field will also find the book valuable.
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