Everything about Seminorm

🧭 Start here: a 6-step reading path

1. Read the overview: SeminormA 5-minute orientation
2. Skim a recent paper: A New Seminorm for d-Tuples of A-Bounded Operators and Their ApplicationsInfluential work since 2022
3. Pick up a classic book: Seminormal OperatorsThe most-reprinted book on the subject
4. Read the landmark paper: Seminorm and numerical radius inequalities of operators in semi-Hilbertian spacesCited 66 times
5. Go sideways: Sublinear functionA closely related topic
6. Go sideways: Metrizable topological vector spaceA closely related topic

🏆 Landmark papers (most cited)

• Seminorm and numerical radius inequalities of operators in semi-Hilbertian spaces

  M.S. Moslehian, Q. Xu, A. Zamani · 2020 · Linear Algebra and its Applications · 66 citations

• Minimization and parameter estimation for seminorm regularization models with I -divergence constraints

  T Teuber, G Steidl, R H Chan · 2013 · Inverse Problems · 58 citations

• EveryC *-seminorm is automatically submultiplicative

  Z. Sebestyén · 1979 · Periodica Mathematica Hungarica · 37 citations

• The canonical seminorm on Weak L¹

  Michael Cwikel, Charles Fefferman · 1984 · Studia Mathematica · 30 citations

• Variational framework for flow optimization using seminorm constraints

  D. P. G. Foures, C. P. Caulfield, P. J. Schmid · 2012 · Physical Review E · 27 citations

• Gravity inversion using seminorm minimization; density modeling of Jasper Seamount

  P. T. C. Hammer, J. A. Hildebrand, R. L. Parker · 1991 · Geophysics · 18 citations

• Sobolev seminorm of quadratic functions with applications to derivative-free optimization

  Zaikun Zhang · 2013 · Mathematical Programming · 14 citations

• Optimal Search for the Global Maximum of Functions with Bounded Seminorm

  Patricio Basso · 1985 · SIAM Journal on Numerical Analysis · 12 citations

🆕 Influential since 2022

• A New Seminorm for d-Tuples of A-Bounded Operators and Their Applications

  Najla Altwaijry, Kais Feki, Nicuşor Minculete · 2023 · Mathematics · 10 citations

• Refinement of seminorm and numerical radius inequalities of semi-Hilbertian space operators

  Pintu Bhunia, Raj Kumar Nayak, Kallol Paul · 2022 · Mathematica Slovaca · 6 citations

• Seminorm control for ergodic averages with commuting transformations along pairwise dependent polynomials

  NIKOS FRANTZIKINAKIS, BORYS KUCA · 2023 · Ergodic Theory and Dynamical Systems · 5 citations

• On Bloch seminorm of finite Blaschke products in the unit disk

  Anton D. Baranov, Ilgiz R. Kayumov, Semen R. Nasyrov · 2022 · Journal of Mathematical Analysis and Applications · 4 citations

• Further Seminorm and Numerical Radius Inequalities for Products and Sums of Operators

  Cristian Conde, Kais Feki, Fuad Kittaneh · 2023 · Numerical Functional Analysis and Optimization · 3 citations

📚 Books worth reading

• 📕Seminormal OperatorsK. Clancey · 1979
• Principles of functional analysisMartin Schechter · 1971
• 📕Seminormal operatorsKevin Clancey · 1979
• 📕C*-seminorms, *-representations, *-radicalsSebestyén, Zoltán. · 1977
• 📕Optimal approximation and error bounds in seminormed spacesJean Meinguet · 1967
• 📕Seminormality and upper semicontinuity in optimal controlLamberto Cesari, University of Michigan. Dept. of Mathematics · 1969
• 📕Réseaux dans les espaces linéaires a semi-normesMarc De Wilde · 1969
• 📕Nilspace Factors for General Uniformity Seminorms, Cubic Exchangeability and LimitsPablo Candela, Balazs Szegedy · 2023

Ranked by number of editions on Open Library, a rough measure of how lasting a book is.

🔗 Related topics

• Sublinear function In linear algebra, a sublinear function (or functional as is more often used in functional analysis), also called a quasi-seminorm, on a vector space is…
• Metrizable topological vector space In functional analysis and related areas of mathematics, a metrizable (resp. pseudometrizable) topological vector space (TVS) is a TVS whose topology is…
• Continuous linear operator In functional analysis and related areas of mathematics, a continuous linear operator or continuous linear mapping is a continuous linear transformation…
• Quasinorm In linear algebra, functional analysis and related areas of mathematics, a quasinorm is similar to a norm in that it satisfies the norm axioms, except…
• Locally convex topological vector space In functional analysis and related areas of mathematics, locally convex topological vector spaces (LCTVS) or locally convex spaces are examples of topological…
• Balanced set In linear algebra and related areas of mathematics a balanced set, circled set or disk in a vector space (over a field K {\displaystyle \mathbb {K} } with…
• Order unit An order unit is an element of an ordered vector space which can be used to bound all elements from above. In this way (as seen in the first example below)…
• Nuclear space In mathematics, nuclear spaces are topological vector spaces that can be viewed as a generalization of finite-dimensional Euclidean spaces and share many…