THE INTERACTION BETWEEN GEOMETRIA AND TOPOLOGY IN BANACH SPACES. APPLICATIONS.

Operation co-funded by EU cohesion policy (European Regional Development Fund (ERDF)) under the programme Multi-regional Spain - ERDF (2014ES16RFOP002), managing authority: Subdirección General de Gestión del FEDER, de la Dirección General de Fondos Europeos del Ministerio de Hacienda.. The source names no beneficiary for this operation. Location: Spain. Budget: total eligible expenditure EUR 71,753; EU co-financing EUR 57,402.402, as stated by the source. Runs 2018-01-01 to 2022-09-30. Source: Kohesio, EU cohesion policy projects managed by national and regional authorities (not CORDIS); selected because its summary names quantum technology. Summary from Kohesio (English machine translation by the source): THIS COORDINATED PROJECT IS THE CONTINUATION OF THE COORDINATE LINEAR AND NON LINEAR FUNCTIONAL ANALYSIS IN FINITE AND INFINITE DIMENSIONS FORMED BY TWO SUBPROJECTS MTM2014-57838-C2-1-P AND MTM2014-57838-C2-2-P AND IS THE CULMINATION OF A FRUITFUL LONG-STANDING RELATIONSHIP BETWEEN THE FUNCTIONAL ANALYSIS GROUPS FROM MURCIA AND VALENCIA. THE CLEAR AND DIRECT INTERACTION BETWEEN SOME OF THE MEMBERS OF BOTH GROUPS TOGETHER WITH THE COORDINATED WORK OF MAKING OUR RESULTS VISIBLE AND KNOWN FOR THE COMMUNITY AND THE ORGANIZATION OF SEVERAL JOINT ACTIVITIES AND CONGRESSES, SHOW THAT THE RESEARCH OF EACH GROUP HAS BEEN STRENGTHENED AS WELL AS THE VISIBILITY AND REPERCUSSION OF THE RESULTS OF BOTH GROUPS. WE ARE COMPLEMENTARY GROUPS: THE MURCIA GROUP IS A SPECIALIST IN TOPOLOGY, MEASURE THEORY AND GEOMETRY OF BANACH SPACES; WHILE THE VALENCIA GROUP IS EXPERT IN NONLINEAR ANALYSIS AND COMPLEX ANALYSIS IN INFINITE DIMENSION. OUR COMMITMENT CONTINUES TO BE BASED ON QUALITY RESEARCH, EVIDENCED BY HIGH IMPACT PUBLICATIONS, INNOVATIVE RESEARCH AND WE BELIEVE THAT WE ARE ABLE TO ATTACK NEW, DEEPER PROBLEMS AND BE MORE MULTIDISCIPLINARY. IN THIS THIS PROJECT WITH SHALL DEAL WITH THE FOLLOWING TOPICS OF RESEARCH: 1.- DIRICHLET SERIES OF SEVERAL COMPLEX VARIABLES, WITH AN AMBITIOUS PROJECT OF EXTENDING OUR PREVIOUS RESULTS ABOUT ONE COMPLEX VARIABLE AND CONNECTING WITH HARMONIC ANALYSIS AND COMPLEX ANALYSIS IN FINITE AND INFINITE DIMENSION, AND THE QUANTUM FIELD THEORY. 2.- INFINITE DIMENSIONAL ANALYSIS AND TOPOLOGY, WHERE WE CONTINUE WITH LINES FROM THE PREVIOUS PROJECT AND, MOREOVER, WE ADD OTHERS LINES RELATED TO THE NONLINEAR GEOMETRIC FUNCTIONAL ANALYSIS, SUCH AS THE LIPSCHITZ-FREE SPACES AND THE COARSE EMBEDDING OF METRIC SPACIES. 3.- BANACH ALGEBRAS AND SPACES OF POLYNOMIALS, WHERE WE WIL STUDY NEW OPEN PROBLEMS ABOUT THE SPACE OF MAXIMAL IDEALS OF BANACH ALGEBRAS OF HOLOMORPHIC FUNCTIONS AND POLYNOMIALS DEFINE ON COMPLEX BANACH SPACES. 5.- APROXIMATION AND HARMONIC ANALYSIS [shortened; the full text is on the Kohesio page]

Original source.

Source: Kohesio (EU cohesion policy projects), European Commission, Directorate-General for Regional and Urban Policy (DG REGIO). Retrieved 2026-10-21. Licence: CC0 1.0 (Cohesion Open Data Platform, dataset 2014-2020 Kohesio projects). Selected metadata, adapted presentation; the publisher's record is authoritative. No endorsement by the source is implied. Licence: public domain dedication (CC0 1.0).

AI-assisted summary: The project focuses on the interaction between geometry and topology in Banach spaces, co-funded by the EU under the ERDF program in Spain, with a budget of EUR 71,753. It runs from January 1, 2018, to September 30, 2022, and continues previous research efforts. Suggested technology pillar: enabling. Generated by AI from the public source text; it may contain errors and the original source is authoritative.