# Compact operators between lattice normed spaces

## TL;DR

This paper investigates properties of compact-like operators in lattice normed spaces, establishing that p-compact operators are p-bounded and addressing previous open questions in the field.

## Contribution

It extends the theory of compact operators in lattice normed spaces by proving new properties and resolving open questions from prior research.

## Key findings

- Every p-compact operator between lattice normed spaces is p-bounded.
- Provides comprehensive answers to previously posed questions in the field.

## Abstract

In this paper we continue the study of compact-like operators in lattice normed spaces started recently by Aydin, Emelyanov, Erkur\c{s}un \"Ozcand and Marabeh. We show among others, that every p-compact operator between lattice normed spaces is p-bounded. The paper contains answers of almost all questions asked by these authors.