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Elements of Hilbert Spaces and Operator Theory

The book presents an introduction to the geometry of Hilbert spaces and operator theory, targeting graduate and senior undergraduate;

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Real Operator Algebras

The theory of operator algebras is generally considered over the field of complex numbers and in the complex Hilbert spaces. So it is a;

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Kato's Type Inequalities for Bounded Linear Operators in Hilbert Spaces

obtained by the author in a sequence of recent research papers. As Linear Operator Theory in Hilbert spaces plays a central role in contemporary;

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Elements of the Theory of Functions and Functional Analysis

, adjoint operators, and linear operator equations. Part Two focuses on an exposition of measure theory, the Lebesque interval and Hilbert Space;

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Functional Analysis

graph theorem, the Hahn-Banach theorem, adjoint operators, weak topologies and reflexivity, operators in Hilbert spaces, spectral theory;

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Complex Analysis

of holomorphic functions, the Bergman kernel, and unbounded operators on Hilbert spaces to tackle the theory of several variables, in particular the;

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Analytic Hilbert Modules

, rigidity, the equivalence problem, the Arveson modules, extension theory, and reproducing Hilbert spaces on n-dimensional complex space.;

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Operator Theory on One-Sided Quaternion Linear Spaces

Two major themes drive this article: identifying the minimal structure necessary to formulate quaternionic operator theory and revealing a;

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Functional Analysis

This book presents basic elements of the theory of Hilbert spaces and operators on Hilbert spaces, culminating in a proof of the spectral;

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Non-Archimedean Linear Operators & Applications

-Archimedean Banach and Hilbert spaces. This includes, non-archimedean valued fields, bounded and unbounded linear operators, bilinear forms, functions;

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Non-Archimedean Linear Operators & Applications

-Archimedean Banach and Hilbert spaces. This includes, non-Archimedean valued fields, bounded and unbounded linear operators, bilinear forms, functions;

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Denseness, Bases and Frames in Banach Spaces and Applications

results Bases Semi-groups Discrete operator and denseness of the generalized eigenvectors Frames in Hilbert spaces Summability of series;

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Functional Analysis

This book presents basic elements of the theory of Hilbert spaces and operators on Hilbert spaces, culminating in a proof of the spectral;

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Functional Analysis

This book presents basic elements of the theory of Hilbert spaces and operators on Hilbert spaces, culminating in a proof of the spectral;

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The Backward Shift on the Hardy Space

Shift operators on Hilbert spaces of analytic functions play an important role in the study of bounded linear operators on Hilbert spaces;

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Generalized Solutions of Operator Equations and Extreme Elements

equations. The monograph is intended for mathematicians, graduate students and researchers studying functional analysis, operator theory, and the;

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Recent Advances in Operator Theory

spaces, numerical ranges of operators, Riccati equations, harmonic analysis, spectral theory of differential operators and analytic operator;

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Introduction To Operator Space Theory

The theory of operator spaces is very recent and can be described as a non-commutative Banach space theory. An 'operator space' is simply a;

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Hilbert C*-Modules

*-algebra. The theory of these modules, together with their bounded and unbounded operators, is not only rich and attractive in its own right but;

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Spectral Theory of Bounded Linear Operators

normal operators acting on Hilbert spaces; (ii) the Riesz-Dunford functional calculus for Banach-space operators; and (iii) the Fredholm theory;

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Spectral Theory of Bounded Linear Operators

normal operators acting on Hilbert spaces; (ii) the Riesz-Dunford functional calculus for Banach-space operators; and (iii) the Fredholm theory;

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Elementary Operator Theory

Spaces, and Banach Spaces Linear Operators Elements of Spectral Theory in a Banach Space Setting Elements of Spectral Theory in a Hilbert;

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Fuzzy Operator Theory in Mathematical Analysis

and Banach spaces, linear operators, fundamental theorems (open mapping and closed graph), applications of contractions and fixed point theory;

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Fuzzy Operator Theory in Mathematical Analysis

and Banach spaces, linear operators, fundamental theorems (open mapping and closed graph), applications of contractions and fixed point theory;

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Partial Differential Equations: Vol. 1 Foundations and Integral Representations

of operator equations in Banach spaces; Linear operators in Hilbert spaces and spectral theory; Schauder's theory of linear elliptic differential;

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Operator Extensions, Interpolation of Functions and Related Topics

and with the spectral theory of differential operators. Other topics concern operator inequalities, spectral theory in general spaces and;

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Fundamentals of Infinite Dimensional Representation Theory

. From Borel spaces and selection theorems to Mackey's theory of induction, measures on homogeneous spaces, and the theory of left Hilbert;

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