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This book begins with a treatment of the classical Riesz-Schauder
theory which takes advantage of the most recent developments. It
deals with Fredholm operators, semi-Fredholm operators, Riesz
operators and Calkin algebras, and is helpful for graduate students
and research mathematicians.
Since the appearance of Banach algebra theory, the interaction
between the theories ofBanach algebras with involution and that of
bounded linear operators on a Hilbert space hasbeen extensively
developed. The connections of Banach algebras with the theory
ofbounded linear operators on a Hilbert space have also evolved,
and Calkin Algebras andAlgebras of Operators on Banach Spaces
provides an introduction to this set of ideas.The book begins with
a treatment of the classical Riesz-Schauder theory which
takesadvantage of the most recent developments-some of this
material appears here for the firsttime. Although the reader should
be familiar with the basics of functional analysis, anintroductory
chapter on Banach algebras has been included. Other topics dealt
with includeFredholm operators, semi-Fredholm operators, Riesz
operators. and Calkin algebras.This volume will be of direct
interest to both graduate students and research mathematicians.
Endophytes are bacterial and fungal microorganisms that colonize
plants without usually eliciting visible disease symptoms but
establishing intricate and mutually beneficial interactions with
their host plant. This can lead to an increase in plant vigour,
growth, development, and changes in plant metabolism. Endophytes
may assist in the development of more productive and sustainable
agricultural practices or discoveries of novel pharmacologicals.
These elusive organisms are often overlooked and their benefits
underrated. Endophytes can support plants in a variety of ways to
cope with biotic and abiotic stress factors, such as drought, heat,
pest and diseases. They can produce particular metabolites,
facilitate access to nutrients, change the plant's chemistry,
physiology and responses, or by a combination of these factors. The
biosynthetic pathways present in endophytes alone or in
combinations with the plant's, can lead to novel chemicals, with
yet undiscovered pharmacological characteristics. With
state-of-the-art knowledge on their discovery and roles, this book
describes the diversity of endophytes, their value, exploitation
and future challenges. Key features: Provides an overview of the
endophytes that are encountered in nature. Demonstrates the
beneficial effects of endophytes together with their practical
applications in agriculture. Explores how endophytes are valuable
candidates for research on future drugs and biopesticides. This
title is a valuable resource for students and researchers in plant
science and plant pathology as well as those working in the
pharmaceutical and pesticide industries.
If you sit in a pew, Sunday by Sunday, you will hear parts of
Matthew's Gospel read. But you might never have read it yourself
from start to finish. And if you are not a churchgoer, you might
not think to read any of it. Yet it has been, and continues to be,
an important part of our heritage. This book considers a group of
people who meet, week by week, to try to untangle what Matthew is
about. A complete text of the Gospel is included in this book and
many questions are raised, the kind that you and I might ask. Some
conclusions are reached; many issues remain. But no one goes away
unchanged.
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