POSITIVITY

Scope & Guideline

Shaping the Future of Analysis and Computation

Introduction

Welcome to your portal for understanding POSITIVITY, featuring guidelines for its aims and scope. Our guidelines cover trending and emerging topics, identifying the forefront of research. Additionally, we track declining topics, offering insights into areas experiencing reduced scholarly attention. Key highlights include highly cited topics and recently published papers, curated within these guidelines to assist you in navigating influential academic dialogues.
LanguageEnglish
ISSN1385-1292
PublisherSPRINGER
Support Open AccessNo
CountrySwitzerland
TypeJournal
Convergefrom 1997 to 2024
AbbreviationPOSITIVITY / Positivity
Frequency4 issues/year
Time To First Decision-
Time To Acceptance-
Acceptance Rate-
Home Page-
AddressVAN GODEWIJCKSTRAAT 30, 3311 GZ DORDRECHT, NETHERLANDS

Aims and Scopes

The journal 'POSITIVITY' primarily focuses on the mathematical study of positivity in various structures, particularly within the context of functional analysis, optimization, and operator theory. It aims to explore the implications of positive operators and functions in a wide range of mathematical frameworks, contributing significantly to both theoretical advancements and practical applications.
  1. Functional Analysis:
    The journal emphasizes the role of positive operators, particularly within Banach and Hilbert spaces, exploring their properties, spectra, and applications to various mathematical problems.
  2. Optimization Theory:
    There is a strong focus on both single-objective and multi-objective optimization problems, particularly those involving positivity constraints and optimality conditions.
  3. Order Theory and Lattice Structures:
    Research often delves into the order properties of various mathematical structures, including vector lattices and Banach lattices, highlighting the significance of order in functional analysis.
  4. Differential Equations:
    The journal includes studies on positive solutions for differential equations, particularly nonlocal and elliptic problems, indicating a commitment to understanding positivity in dynamic systems.
  5. Quantum Mathematics:
    Recent papers indicate a growing interest in the interplay between positivity and quantum theory, particularly in the context of quantum operators and Markov chains.
Recent publications in 'POSITIVITY' highlight several emerging themes that reflect the evolving landscape of mathematical research. The following areas are gaining prominence as the journal continues to adapt to contemporary challenges and interests in mathematics.
  1. Advanced Optimization Techniques:
    There is an increasing emphasis on robust and nonsmooth optimization, particularly in the context of uncertain multiobjective programs, showcasing the need for sophisticated mathematical tools.
  2. Nonlinear Analysis:
    The journal is witnessing a trend towards nonlinear approaches in various mathematical problems, especially in the context of differential equations and optimization, indicating a shift away from linear paradigms.
  3. Quantum and Noncommutative Analysis:
    A noticeable increase in studies related to quantum mathematics and noncommutative operator theory reflects a growing interest in the implications of positivity in quantum systems.
  4. Applications in Applied Mathematics:
    Emerging themes suggest an increasing application of positivity concepts in fields such as statistical mechanics and optimization, indicating a broader relevance of the journal's focus.
  5. Lattice Theory Applications:
    The journal is expanding its scope to include more applications of lattice theory in various mathematical contexts, indicating a trend towards integrating order theory with functional analysis.

Declining or Waning

While 'POSITIVITY' continues to explore a wide range of themes, some areas appear to be waning in prominence based on recent publications. These declining themes suggest a shift in focus towards more contemporary issues within the field.
  1. Classical Inequalities:
    The journal has seen a decrease in papers focused specifically on classical inequalities, such as those traditionally studied in analysis, signaling a potential shift towards more complex, modern inequalities.
  2. Basic Operator Theory:
    Papers that deal with foundational topics in operator theory, such as elementary properties of bounded linear operators, seem to be less frequent, indicating a move towards more specialized or advanced topics.
  3. Elementary Functional Spaces:
    Research on basic functional spaces without additional structures or complexities appears to be declining, possibly as the focus shifts to more intricate spaces with specific properties.

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